{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# PDE-FIND for the Kuramoto Sivashinsky Equation\n",
    "\n",
    "Samuel Rudy, 2016\n",
    "\n",
    "This notebook demonstrates PDE-FIND on the Kuramoto Sivashinsky equation.\n",
    "$$\n",
    "u_t + u_{xxxx} + uu_x + u_{xx} = 0\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Populating the interactive namespace from numpy and matplotlib\n"
     ]
    }
   ],
   "source": [
    "%pylab inline\n",
    "pylab.rcParams['figure.figsize'] = (12, 8)\n",
    "import numpy as np\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "from PDE_FIND import *\n",
    "import scipy.io as sio"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "data = sio.loadmat('./canonicalPDEs/kuramoto_sivishinky.mat')\n",
    "u = data['uu']\n",
    "x = data['x'][:,0]\n",
    "t = data['tt'][0,:]\n",
    "dt = t[1]-t[0]\n",
    "dx = x[2]-x[1]\n",
    "\n",
    "n = len(x)\n",
    "m = len(t)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x7f3ec126dd10>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAqsAAAHMCAYAAADyAuGOAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzsvXm8XdP9///aa09nukMSQggRBEWUqhaViBgTIkgIH9Gk\nilJ8avihNG1VNVo1fDvw/ab4mCofqhT9UCLmpqUl9dFIIhKSiMSU4Y5n3uv3xz5rnbWHc+459557\n77n3vp+Px33ce/fZZ6+19vja7/UeNM45CIIgCIIgCKIeYf3dAYIgCIIgCIIoBYlVgiAIgiAIom4h\nsUoQBEEQBEHULSRWCYIgCIIgiLqFxCpBEARBEARRtxhdfE6pAgiCIAiCIIi+QAtbSJZVgiAIgiAI\nom4hsUoQBEEQBEHULSRWCYIgCIIgiLqFxCpBEARBEARRt5BYJQiCIAiCIOoWEqsEQRAEQRBE3UJi\nlSAIgiAIgqhbSKwSBEEQBEEQdQuJVYIgCIIgCKJuIbFKEARBEARB1C0kVgmCIAiCIIi6hcQqQRAE\nQRAEUbeQWCUIgiAIgiDqFhKrBEEQBEEQRN1CYpUgCIIgCIKoW0isEgRBEARBEHULiVWCIAYcd999\nNxhjWLhwYX93JZQXXngBjDHMnz+/4u/MmzcPjDH87W9/68WeeRk9ejT22muvPmtvqDF79mwwxrBx\n48b+7gpBDGhIrBKDHsYYdF0P/Wz16tXYY489wBjDvHnz+rhn9U1fPmjz+TwWLFiAI488EiNGjIBl\nWdhhhx1w4IEH4oILLsDTTz/tWV/TNGia1uv96kv6Y0z9tQ9Hjx4NxljZn3p9EVHp6gVD0zQwRo9Z\ngugpRn93gCD6i7feegtTp07Fli1bcMcdd+Ciiy7q7y7VFX0lnhzHwZQpU7B48WIMHz4cJ510EkaP\nHo1UKoVly5bhoYcewurVq3HiiSfK75xxxhmYMGECdtppp17vX19x+eWX45xzzsGYMWP6uyu9jji3\nLr/8cjQ2Noauc8ABB/Rxr6qnq2vklltuwQ9/+EPsuOOOfdgrghh8kFglhiTPP/88TjvtNORyOTzy\nyCM47bTT+rtLdQfnvE/aeeCBB7B48WJ89atfxUsvvYR4PO75PJlM4p///KdnWUNDAxoaGvqkf33F\n8OHDMXz48P7uRp9yxRVXDOgXjq6ukR122AE77LBDH/WGIAYvND9BDDn++7//G9OmTYNpmnjuuecC\nQnXNmjVgjOGCCy4I/f4RRxwB0zQ9y1QfxTfeeANTp07FiBEjoOu6nEZ/8cUXcf7552PfffdFU1MT\n4vE4xo8fjxtvvBGZTCbQjjrF+NBDD+Hggw9GLBbDzjvvjKuvvhrZbBYAsHjxYkyaNAmNjY0YPnw4\n5syZg23btoX2/c0338Spp56KkSNHIhKJYOzYsbj00kvx6aefynXy+bychuWce6Zs/f6Nq1atwjnn\nnIOdd94Ztm1j5513xty5c/HBBx90cRSK/P3vf4emaZg7d25AqAJANBrFxIkTPcvuuecez1RxMplE\nY2Mjdt5555IC4vzzzwdjDIsWLZLLHn/8ccyePRt77bUXEokEGhoacMghh+COO+4I3c6nn36KK664\nAvvssw8SiQSGDRuGL33pSzj33HOxfv360Hb/9a9/YcqUKWhubkYikcBRRx2Ff/zjH4H1wqaUxbE4\n7rjj8MUXX+C8887DqFGjEIlEMH78eDz44IOhbd577704/PDDMXLkSESjUey6666YMmUKHnvssdD1\n/Tz44IOwbRvjx4/Hhg0b8Mwzz4Axhu985zuh66fTaQwfPhyjRo1CLperqI1qaWtrw2WXXYZddtkF\n0WgU++67L371q19h9erVoddr2HUq8J8/gmqu0V122UX6JB9xxBHyGrEsS65TzpXm4YcfxoQJE9DU\n1IRYLIYvf/nLuPnmm+V1rSJ8izs7O3HllVdizJgxiEQi2GuvvXDrrbdWtgMJYgBDllViSPGrX/0K\nV1xxBUaNGoW//OUvGD9+fNXbKDf199prr+EnP/kJjjzySJx33nn47LPP5APzpptuwocffohDDz0U\nJ598Mjo7O7FkyRL86Ec/wquvvornnnvOs13Rzm233YbnnnsOp5xyCo466igsWrQIt9xyC7Zu3Yrj\njz8es2fPxrRp03DhhRdiyZIlePDBB7Ft2zY8+eSTnr498cQTmDVrFhhjmDlzJnbddVf885//xB13\n3IGnnnoKS5YskcL0+uuvx2OPPYZly5Z5pmpVy9/rr7+O4447Dp2dnZg+fTr22WcfrFy5Eg8++CCe\neuopvPjiizjwwAO73J8jRowA5xyrVq2q+jgIotEozjjjDNx7771YtGgRjj/+eM+6qVQKjz76KEaP\nHo1jjz1WLr/mmmsQiURw2GGHYeedd0ZLSwteeOEFXHrppVi6dCnuueceuW5nZycOO+wwrF+/Hsce\neyymT58Ox3Gwbt06PPHEEzjzzDOx6667etp94403cOONN2LChAm44IILsG7dOvzxj3/E0Ucfjbff\nfht77LGHZzylzqstW7bgsMMOQzwex6xZs5BMJvGHP/wBc+bMgWEYOOuss+S6V199NW655Rbsueee\nmDVrFhobG7Fp0yb885//xGOPPYYZM2aU3a833XQTfvCDH2DSpEl44okn5EvAbrvthocffhi33XZb\n4KXikUcewbZt23DttdfCMGr/WEmn0zjqqKOwdOlSHHTQQZg9eza2bt2Kn/zkJ3jppZdC91tXU/Rh\nn1VzjV555ZV44okn8Nprr+Hcc8+Vx171jy/VB3GMRo4ciXPOOQfxeBxPP/00vv/97+P555/Hs88+\nG9hOJpPBMcccg88//xwnnngidF3Hn/70J1x11VXIZDK49tprK9+hBDHQ4JyX+yGIAY+maZwxxr//\n/e9zTdP4Pvvsw9etW1dy/dWrV3NN0/j5558f+vkRRxzBTdP0LFu8eLFs59577w393ocffhi6/Lrr\nruOMMf744497ls+bN49rmsaHDx/O33//fbk8lUrxffbZh+u6zrfbbjv+t7/9zfO9yZMnc8YYf/fd\nd+Wy1tZW3tzczE3T5K+//rpn/fnz53NN0/iJJ57oWT579mzOGOMff/xxoM+O4/Bx48Zxxhh/9NFH\nPZ8tXLiQa5rGx48fHzpeP2+++SY3TZPrus7nzJnDH3/8cb5+/fqy37n77rs5Y4w/9NBDctlrr73G\nNU3jZ511VmB90adrr73Ws/yDDz4I3f7ZZ5/NGWN86dKlctmf/vQnrmkav+aaawLrZzIZ3t7eLv9X\nz4eFCxd61r3jjju4pmn8e9/7nmf5vHnzOGOML1myRC7L5XJyOxdddBF3HEd+9u9//5vrus6//OUv\ne7bT1NTEx4wZw9PpdKCfmzdv9vw/evRoPm7cOM455/l8nl944YVc0zR+5pln8kwm41n35z//OWeM\n8QULFgS2+41vfIPrul5yf/oZPXo0Z4zxK664gl9//fWhP9lsVq7/k5/8JPTYfvDBB7y5uZkzxgLX\na9h1Kgg7fzjv3jXqP2YqYdeQOE933313/sUXX8jl+XyeT506lTPG+C9/+UvPdsT+mj59Ok+lUnL5\nJ598whsbG/mIESM85wZBDGBC9SiJVWLQIx72mqZx27ZLPpAEPRGrX//616vu36effso1TePf+c53\nPMvFg/CnP/1p4Ds/+tGPuKZp/Lzzzgt8ds899wRE0v333881TeNz584NrJ/NZvmuu+7KGWN848aN\ncnk5sfrKK69wTdP4pEmTQsd02GGHccYY//vf/1564AoPP/wwHzVqlDxOmqbx7bbbjp922mn86aef\nDqxfSmzssccePBaL8dbWVs/y448/njPG+IoVKyrqzxtvvME1TeM33XSTXCbE6o9//OMuvy/Oh8mT\nJwc+S6fTXNd1fthhh3mWlxOrjY2NvKOjI7AtIRJVAdPU1MTHjRsXEJthCLGaTCb5ySefzBlj/Mor\nrwxd9/PPP+e2bfOvfOUrnuXvvvsu1zSNn3DCCV22p7bLGCv7o4537Nix3DRNvnbt2sC2xEtdLcRq\nKbq6RqsRq3PnzuWMMX7fffcF1l+xYgVnjPG9997bs1zsr7CXOPFi9d5771U0FoKoc0L1KPmsEkOG\nE044AZlMBmeddRZaWlp6pY1DDjmk5GcdHR248cYbccghh6CpqQm6roMxhh133BGapuHjjz8O/d7B\nBx8cWCaCUr7yla8EPhN+mxs2bJDLli5dCk3TcNRRRwXWNwwDEyZMAAC8/fbb5QeobA9A6PYAYPLk\nyQBcf81KmDVrFtavX49nn30WP/zhD3HSSSfBcRw88cQTOOmkk3D++edXtJ05c+YglUrhkUcekcs2\nbdqEF154AV/72tewzz77eNbfvHkzrrnmGhxwwAFoaGiQfoeHHnpo4JgcddRRGDVqFG688UZMnToV\nv/3tb/Gvf/2rbJBN2LGzLAvbb789tm7dWtGYAGDvvfdGLBYLLN9ll13AOff4KJ999tlYs2YN9ttv\nP8ybNw+LFi1CW1tbyW13dHRg8uTJePrpp3HbbbfhlltuCV1vu+22w8yZM/H222/jzTfflMsXLFgA\nTdNw4YUXVjwewYYNG5DP50N/xHi3bduGtWvXYtdddw3NlDBp0qSq2y1Fd6/RahDXRNi1s88++2DU\nqFF4//330dnZ6flsxIgR2GWXXQLfEcuqOZ8IYqBBPqvEkOHJJ5/E6aefjqeeegqTJ0/G888/X/Po\n61IparLZLI488kgsXboUBxxwAM466yxsv/32ME0TjuPghhtuQDqdDv1uU1NTYJlhGNA0reRnok2B\nEOejRo0KbUMsLxWY5aelpQWappXdnl9EdYVhGDj22GOlTynnHH/4wx/w7W9/G//1X/+FU089FVOn\nTi27jW9+85u4/vrrcf/99+O8884D4AYLOY6DOXPmeNbdunUrDj74YHz00Uf4+te/jjlz5mD48OEw\nDANbtmzBr3/9a88xaWpqwhtvvIHrr78ef/7zn/Hcc8+Bc47tt98eF198MX7wgx8E8vk2NzeXHGs+\nn69435TbDgDPtn7zm99g3LhxuO+++3DTTTdh/vz5MAwDJ554Im677TaMHTvWs422tja8/fbbaG5u\nxjHHHFO2H9/97nexcOFCLFiwAF/96leRTqfx+9//HqNGjcK0adMqHo+gnNAXiHO3VFR9rdJC9eQa\nrYZKrsVNmzahpaXF84JSzTlAEIMNEqvEkME0TTz22GOYPXs2HnnkEUyaNAmLFy/GyJEjPeuJJN6l\noprLCbBSAR2PP/44li5divPPPx8LFizwfLZhwwbccMMN1QylaoSo/eSTT0I/37Rpk2e9SrbHOS+7\nvVJiulI0TcOsWbPwv//7v/jFL36BF198sUuxOmbMGBx55JF45ZVXsGbNGuyxxx64//77YVkWzjzz\nTM+6CxYswEcffYQbb7wxEJzy17/+Fb/+9a8D2x89ejTuvvtuAMDy5cvx4osv4re//S2uv/56aJqG\nH/7wh90eb61gjOGyyy7DZZddhi+++AKvvfYaFi5ciMceewwrV67EsmXLPKJ6xx13xJ133onp06dj\n0qRJWLRoEQ466KDQbR9++OE44IADZKDVn/70J2zduhWXXHJJryW/F+eQmrFCpdQ5yBgrKYbDruG+\nukbVazHMUlrttUgQQwFyAyCGFLquY+HChZgzZw6WLVuGiRMnBqb2hg0bBgD46KOPAt9vbW3F6tWr\nq2539erV0DQtNJ/ryy+/XPX2quWggw4C5zy0rVwuhyVLlsj1BELQhFlsxHql+v7iiy8CCHdTqJaG\nhoaik30FzJ07F5xzPPDAA3jrrbewYsUKTJs2LWCZWrNmDQB0+5jsu+++uOSSS/Dss88CcLMt1Bvb\nbbcdTj31VDz66KOYOHEiVq1aheXLlwfWO+aYY/CXv/wF6XQaRx99dGhqLcFFF12Ezs5OPPjgg7jr\nrrug67q0YvcGzc3N2G233bB+/frQ9GAvvfRS6PeGDRsGx3FCp+79eXuB7l2j5a6RUpS7dt577z1s\n2rQJ48aNC3X7IIihColVYsihaRruvfdeXHjhhVi1ahUmTpzoeQg2Nzdjzz33xKuvvor3339fLs/n\n8/jP//zPbk0F7rbbbqFicc2aNbjuuut6vVLUaaedhubmZvz+97/3+BsCbpWddevWYcqUKZ6pyREj\nRgBAqECYOHEi9txzT7z88suBFFkPP/wwXn/9dey777449NBDAbjTvdlsFm1tbWhvb0cymUQmk0Eu\nl8NDDz0kxa2fTZs24e6774amaYFcq6WYOXMmEokEfv/73+P++++XOVz9lDomb775Jm6++ebAMXn3\n3Xfx+eefB7YjLHthOWL7mlQqhddffz2wPJvNYsuWLQBQUgRNnDhR5qA99thjS5YQnT17NhKJBG66\n6SYsWbIEU6ZMCbUQ1pJvfetbyOVyuOaaazwvLWvWrMEdd9wRev187WtfA+ccd911l2f5okWL8Mc/\n/jGwfneuUZF2rVSO3TDOPfdccM7x05/+VB4TwL2/XHnllQDQq+KfIAYi5AZADFnuvPNORKNR3H77\n7ZgwYQJeeOEF7LnnngCAq666ChdeeCEOPfRQnH766bAsCy+99BI45xg/fjxWrFhRVVvTp0/H2LFj\ncfPNN+Ptt9/Gl7/8ZaxduxZPP/00pk2bhocffrjq/ldqaQRc6+Q999yDM888ExMmTMDpp5+OXXbZ\nBW+++Saef/55jB49GnfeeafnO0cffTRuv/12fOtb38KMGTOQSCQwfPhwXHTRRdA0Dffffz+OP/54\nzJgxA6eccgr23ntvrFixAk899RSam5vxwAMPgHOOXC4nXSo453Acx+Ni8corr+Duu+/GjjvuiMMP\nPxxjx44F5xzr1q3DM888g1QqhZkzZ2L69OkVjT8Wi2HGjBm4//77sWDBAowcORInnHBCYL25c+fi\n1ltvxSWXXILnn38ee+65J1atWoX/+Z//wcyZMwPH5Nlnn8W1116Lww8/HHvttRe23357fPTRR3jy\nySeh6zquuuqqio9Hb9HR0YHDDz8c48aNw8EHH4xdd90VqVQKixYtwnvvvYcZM2Z4crv6OfTQQ7F4\n8WIcf/zxOP744/HUU08FAoHi8TjOOecc3HnnndA0rWShgEq49dZbS5ZbnTx5sgz8u+qqq/Dkk0/i\nD3/4A1atWoXjjjsOmzdvxqOPPopJkyYFXpgA4Nvf/jZuvfVW/PSnP8XSpUvxpS99CStXrpSFQPyC\ntTvX6OTJk6FpGq6++mrp98sYK5vzdMKECbjiiitw++23Y7/99sPMmTMRi8Xw9NNPY8WKFZg0aRIu\nv/zyanYjQQx+SqUJ4JS6ihgkaJrGdV0v+blIP7PTTjvx5cuXy+V33XUX32+//XgkEuGjRo3i3/3u\nd/nWrVv5EUccwS3L8mxj8eLFnDHG58+fX7Kdjz76iJ999tl855135rFYjO+///78tttu4+l0mjPG\n+HHHHRfar7C0OOVS75Tryz/+8Q9+6qmn8u23357bts132203fskll/BPPvkktM+33HIL/9KXvsQj\nkQhnjMmcnIKVK1fy2bNn85122olblsV32mknPmfOHP7+++/zTCbDt2zZwtvb23kymeTJZJK3trYG\nfpYvX85vuukmftJJJ/G99tqLNzQ0cNu2+ahRo/jxxx/P77vvPp5MJnkmk+G5XI47jtNl6qGXX35Z\npkAqlYqJczft0rRp0/jIkSN5IpHghxxyCL/vvvv46tWrOWOMX3DBBXLd5cuX8yuuuIIfcsghfOTI\nkTwajfKxY8fyM888k7/xxhsVHwPO3VREe+21l2dZqdRVYeeGYPbs2VzXdZkaKZPJ8JtvvplPmTKF\njxkzhkejUb7DDjvwww8/nN999908l8t12Q/O3RyuO+ywA4/H4/y5554LfP7WW29xTdP4rrvu2q38\nnpWkrvrZz37m+U5rayu/7LLL+M4778wjkQjfd999+a9//Wv+/vvvl0w1t2zZMj516lTe2NjIGxoa\n+OTJk/mSJUtKnj/VXqOcc/7AAw/wAw88kMdiMc4Y89wb/MdHZeHChfyII47gjY2NPBqN8vHjx/Nf\n/OIXoSnHSh0nzrtOn0UQA4xQParx8taZvikOThDEoID7LKltbW2Ix+MwDAOcc2QymdDp1M7OTti2\n7Qn8Efcmzw2r8F1N06DrOgzDkOmFGGO97k5BuNx999244IILcMMNN2DevHn92pc1a9Zg3LhxOO+8\n8/C73/2uX/tCEESPCb2JkxsAQRA9xnEc5PN5KVLDykzm83lkMhkpLLsSl6owVREiVrSniljGGHRd\nlz8kYmtPPp/H7bffDtu2K85/SxAE0RNIrBIE0W2E/6mIhi4lUlOpFLLZLHRdRz6fRzabheM40DQN\njDGPH2tPRWwul/PkmBXbJBHbM/7617/ilVdewYsvvoiVK1fi8ssvL5n7lCAIopaQWCUIomoqEam5\nXA6O46CzsxORSASxWMxjCRVT+47jyJ90Ou0Rsf4fErH9x3PPPYf58+fLILv58+f3d5ckYecfQRCD\nB/JZJQiiYhzHkVZRoLRITSaTyOVy0DQNsVgMlmUBADKZjGfaXtDZ2QnLsqRvqxCx+XxeClnxvWpF\nbCn8PrEqJGIJgiD6BfJZJQiieoSYq0akRqNRJBIJtLW1VSTw1HXEthljspSk6IdqhRWWW855SQFL\nlliCIIiBD4lVgiBCqVSkZrNZJJNJOI6DSCSCRCLhEYJdzN5UjMgAoGYMEP1URazob2+J2Gw2G8hq\nQCKWIAii9yCxShCEByH+hOVSiDtVeIkUVapItW27X8RZX4vYsHaEqE8mk+CcwzRNAJDWYSFmScQS\nBEFUD4lVgiAAVC5Ss9ksUqkUHMdBNBqFZVl1Kb76UsSKz4Wfra7rUsSG+ekKESsErK7rFCREEARR\nAhKrBDHE4ZwHcpaWEqnJZBIAEIlE6lakdkV/iFh/O6VErN+VgEQsQRAEiVWCGLKEiVTGWGAdVaRG\no1GYplmxeKrGZ7VWvq3dpRYiNiyzQFg7pUSssMyWE7FCyJKIJQhiqEBilSCGGJWK1Ewmg2QyCU3T\nqhap1VLPoqsSESv2pwhE6+zsDLXGdtUOiViCIIggJFYJYohQrUhljCEej8MwjJqJn1pmB+hvVBEr\nAqoymQzy+TxM0wyk2AIQCLSqJNiqEhHrR/RLBHeRiCUIYiBDYpUgBjkicl+1zIWJ1HQ6jVQqJUWq\nEGA9YTCJ00oQglDNDwsU/VRVS6y/5Gy1hQ4qEbGZTMbzGYlYgiAGIiRWCWKQUq1I1XW9ZiKV8KIW\nOlCpBxEr2iERSxBEvUJilSAGGUKk5nI5ACgpklKpFFKpFAzDQCKRCFgDid6nnkWswLbtQI5YErEE\nQfQl9HQiiEFCmEj1iwrHcaQl1TRNNDQ09LpIrcQNYKi5C3RFPYjYbDYbKDcr1vfniSURSxBEb0Ji\nlSAGOGo1qVwuh1gsFipSU6kU0uk0TNNEY2NjILq9NyDxUlv6Q8SWyoKQTqcD64eVnO0qCwJBEERX\nkFgliAGKmjJJ4E9t1F8ilehbKhGxanot1Ye5FpZYYRX3n49ifb8/rCh2QBAEUQkkVgligOEXqWrF\nKSEaVJFqWRaJ1CGKKmJVdw9/oYMwESvOJ7X0brl21N9qO0BQxIqCCqqIVfPEEgRBqJBYJYgBghAV\nIq9mKQtXR0cHMpkMLMtCU1NTv07D+n1RGWMy5yjRf1RS6EAI2GQy2aOSs+pvtR0Agby/at/CfGIJ\nghiakFgliDqnEpGaz+eRSqWQy+VgGEa/i9RSUBBVfaOKWHGORaPRqkrO9paIFdsmEUsQQw8SqwRR\nhwhfQyEKgNIiNZlMIpvNwjRN6LqOWCzWH13uMSRk64swa2c5S2xfilgV4ULgD+wiEUsQgwcSqwRR\nR1QqUnO5HFKpFLLZLCKRCGKxmBSu9YSmaYFpf38QmFiPxOrAo15EbC6XC6TZIhFLEIMHEqsEUQeI\nh7taR76USBUpqiKRCOLxuFxHiAGC6G/qUcSKSm6WZZGIJYgBBolVguhH/CJVjexXUUVqNBpFIpGg\nhysx4KhUxGYyGfnSVisRK8QqQJZYghhokFgliH6gUpGazWaRTCbhOA4ikUhZkUpT6cRApZSIVQWs\nf+ZBTXdVbY7YcpbYTCbj+ZxELEH0PyRWCaIP4ZwHIp39D0+1IpUQqbZtD8iHoyqgxbjKZTUgCJWw\nCli9Va1L/FbbU33IScQSRP9BYpUg+oAwkRr2EM5ms0ilUnAcB9FoFJZlVfzwq1fLqhiXEN8AkMlk\nPH6KQhSEBV8RhEp3S86K72az2R5V61LbKiVi/YUOSMQSRM8gsUoQvUg1IlVE8kcikapEar2ijr2j\nowPRaBS6riOXy0mB6i8D2tHR0W3rGDG06UrEptNpAKiZJbaciBUvY+o6fiusyGVL5zVBdA2JVYLo\nBbojUqPRKEzT7NHDqx4sq6obQz6fB2MMjY2N0DRNugAAwQT0+Xwetm3XfIqXGNqoIlbTNFiWBaD3\n3AlKiVjRRjkRq5acpfOaIIqQWCWIGqL6ZZYTqZlMBslkEpqm1USkAsH0PX2N39c2Go0CQGCatBzd\nneIVYoIe9rVjsLtk9PRcIxFLEH0HiVWCqAFCqInqOl2JVMYY4vE4DMOo+cOnr0VGmEgVbgyZTKYm\nbZQTFrXM20kQ9SZi/ZCIJYYiJFYJogeEidSwtDjpdBqpVEqKVNM0a96Xvn5YlROpfUWtks/7hQkx\n+BDHvrtU+sIk/K/VmZVqrf6VithMJuMJ5tJ1Xf5PIpYYTJBYJYhuUK1I1XW910RqX6P62nLOy4rU\najIU1NLfthIRqwZ2kT8s0V1q9cLUHRHrOI70+RbntDqbIc5rErHEQIfEKkFUgbCctLe3IxqNlhSp\nqVQKqVQKhmEgkUjAMPrmUhPisDceRNWI1GrpqwenKizEi0NvTO8SRH+KWH9bJGKJgQ6JVYKoANUS\nJyymsVgsYOUQllTTNNHQ0NBnIrU3qWVqrXp8ENYyqIuoX+olYKyWIraStrojYg3DCOSIrYd9Rwxd\nBv6TlCCtEU14AAAgAElEQVR6EWFJVasu+UWN4zhIpVJIp9MwTRONjY2BB1FfUc20e1fUQqTWsj99\nTXeCusS+yWQy9KAnqqI7Ihbwnmu1ssSKnLRhffOXuCWIvoDEKkGEECZS1Zu7yAuayWTqQqTWkt7I\n/zqYKCcqMpmMTENEmQmIWlDufOvo6JAFNnrLnUCIYjGzVKpv/mIHBFFLSKwSRAG1hKIoCxp28xYP\nhLa2NliWRSKVAFC0ujuOA9u25XK/ZSyTycjzy2+lqid3goFqER9q+K/RWvvEis+6I2JVf1gSsURP\nILFKDHkqFan5fB6pVEr6eCUSibqL7u/OtHu9iNTBII5KZUTwW8YGSlDXYBIX9eKzWmv8YypliVUF\nrJpiC0DgXKtEWFYrYoVYFiLW7xNLEOUgsUoMWYRYUG/aXYlU27bR1NSEtra2AX+D7QuRWql4Huj7\nslp6GtSlCoqhtu+I7hHmY+o/39T7YXdfmioVserLg2qJJRFLhEFilRhy+EWqeOCHidRkMolsNitF\nar0HFFQiDuvFkkoE6UrE5vN5ee5mMhnyhx3C1MJSXIuXplqLWGGN9Rc7IBE7tCGxSgwZKhWpuVwO\nqVQK2WwWkUgEsVgscDMfiFHu9SJS6UFTPd3JTEAilugu/SliRYCiaDuXyyGbzXq+QyJ26EFilRj0\nCIuUOvVUSqQmk0nkcjlEIhHE4/EBd/MLE9H9KVIHoqgfSFSa7kgN6lJzww6lh/xg81ntj/H0hYhV\n79GiTf/nAInYoQaJVWLQEiZSw6bxVZEajUaRSCQqsgbUuwirF0sq0ffUIqhrsIk7oveopYjt6rwj\nETs0IbFKDDoqFalCyDmOg0gkUpFI9bdTb2iaJi1pJFIJle4ICsCdlq2HzATEwKO755wQrbX0iSUR\nO7AhsUoMGioRqZxzaUkVItW27apvTvV4MxM3/1QqBU3T6kKk+i3QpfoyECzVg5VSgkKcR7quy+uK\n/GHrh4Fs+S4nYpPJpJwRUM+53grsymazyGQyns9JxNYfJFaJAY8QoMIxv9RNMJvNIpVKwXEcRKPR\nbte3B+pLXKnT/Y7jwLIsxGIxurESPUIICsMwYBjFR8VADeoayOJuqCDOFZHGSlAqvVZPq3UBCPX3\nFvdUErH1A4lVYsAiRKpIdVJOpPakvn29EuaTmslkqFIMURPUiGyVSoO6stmsLFc8VIO6epPBKr7D\nxlXNOdcbJWdFW+VErJojlnIg1x4Sq8SAI0ykhk3x9GZwUX9aVsuNze+TVY8M1ofsUKcWQV0kYolq\nqCcRK/Ieq+v4rbAkYrsPiVViwFCpSBXBRb3tt9nXYrUSAV5P7glAcarNX62GGBr0RaojYnBRq2IH\n9SBixbmtFvUwTdMjYoWQJRFbHhKrRN1TrUhljCEej8MwjF67+PtSFA6VFFT1JLKJ3qUSEVvLoC5x\nbg2ma4ZmKKqnP0WsmPVijHlErKZp+POf/4xUKoXzzz+/9oMeJJBYJeoW9YEFlBap6XQaqVRKilTT\nNHu9byJFVG8iBHgqlQJQmUitN8uqH1EmtB4DcIj+RxWxgyGoi6ie/ip20J+W2C+++AIjRoyo+bgG\nEyRWibpDRHu2t7fDsqxQC6kqUnVd7zOR2hd0R6TWM8KXNp1OI5fLwTCMgMVMjC2Xy5HYIAJ0N6hL\n9RMcbAxGy2q9vWiXO+/y+XwgOwGAgIAV51+549Xa2oqxY8f2+ngGMiRWibpBXPTiYZPL5QKR+5xz\npFIppFIpGIaBRCLhscD0Fb1hwayFSO0Li281iJy3HR0diEajiMfjyGazHl9WYUFX/RZVywWliCFK\nUUpMqAJWiAoA6OjoIH/YAUC9Hw+R0k3F74etiljVXz+bzUr3F3HetrS0YNiwYX07iAEGiVWi31Gn\nV4DiNIl6w3IcR1pSTdNEQ0NDv4hUQS3Fal8GhfUVaglbAGhsbISu64F9JsQGYwyZTAbRaBSA13JB\nwTdEtYjzQuA4Djo7OxGNRimoq44ZyNbirvywRZENcd7dcccdWLBgAfbee29ZQdE0Tey3335oamrq\ncX8cx8FXv/pVjB49Gk899VSPt9ffkFgl+gU1Z51fpAqElbCzsxPpdBqmaUrRMxjo66CwviCfzyOZ\nTCKbzcob8LZt26oeUyWWi3w+L9PFkN9i7RnIwiEMVZCq+M+rgVKpq1QeXKK+UEWsruvSXe3KK6/E\nGWecgeXLl+Oee+7BihUr8Oyzz2L58uVobm7G/vvvjylTpuB73/tet9r91a9+hX333Retra21HE6/\nQWKV6FMqEalAMbiqo6MDlmXVnUjtiWW1N0VqfwVY+UVqPB73TH1V2qdyAqmc5aKSIAg1RQxBCHp6\nXtWbiB3IDLYXJBX/2BhjGDNmDMaMGYN77rkHd911F5qbm+E4DtatW4d33323221t2LABzzzzDH7w\ngx/gtttuq0X3+x0Sq0SfIG78qiN6KZGaSqWQTqehaRoikQhisVh/dLnmDAVLqipSq6En+6Cr4Bvh\nTqD6j9GUL9EVPY0Q7+2Xo8Es7AYj5Y5Xe3s7GhoaALgiduzYsT0KuLr88svxy1/+Ei0tLd3eRr1B\nYpXoVfwiNcwfFXBFTyqVQiaTgWVZaGpqkqKuHqnWWthXIrWvLKvq8bJtG01NTXV3rMLERlfJ6MNK\ngpIgKPL6nofh0NV/7+9uVE0thV0lQV30ctQ9hrIAr9X98+mnn8YOO+yAAw88EC+//HLdZVjoLiRW\niV5BBMiIaPBKRKpf9NRzztBK+jYYLamO4yCZTFYlUuvpONZiynewpkLqitf3PEz+HoiCtbepxB+2\nlkFd9XJNEZVRSojX+jguWbIETz31FJ555hkkk0m0tbXhm9/8Jh544IGattPXkFglako1IlVMH5cS\nPfUkcqqhP0Vqb+2z7ojUgUQlU75qRaVSQqM7rJxyrPybmTq4knpMYwy6yeDkOZiuYY/HnuneAHuI\nEKpEdXQVId7TYMHB9tI0mC2rXY2tVuOeP38+5s+fDwB45ZVXcOuttw54oQqQWCVqRJhIDXt453I5\npFIp6eMYi8VKPuTrLWeoSpgoHKyWVOFDLNwzeipSB9L+UEWsiOLtylomzoNyQuO9k45zt5UPvlho\nhf2rilamu99fM2MqmKFDYxq4w6ExDbv9d8/T0rx/ypTAMqZrGPOIu23N1MCzHHrU7ds/x38Dh/x7\nSY/bHarUwsIvzkOi/il3nPL5fF0FD9crJFaJHlGNSBV5N6sJxBkIN+Mwkdqf1bRqsc96Q6RWwqpp\nx8u/maFj3BN/6fU2q6Wc0Mhms8hms56MF6rQWH/GKeCOIwWpVtiEk82Dme4DSzcZ8tniOp62mVb4\nvitYAWD97OnQmIZdHniiW+NZM2NqYJkQx+vPmg6NMZgNOvJJxeJrDpwXDmDgWOyqCeoSuTsHk5vK\nQDlO3SVsbK2trTK4qtYceeSROPLII3tl230NiVWiW3RHpEajUSQSiYpvRvV80xIWtHQ6XTciVfSr\nJ/hFai1ShnXlmrDq5BPAHadgMWQeMff+KVNqOv2tTrkDgKZr0BiDxjQwXYPGwv8ffd/jXW5bdQ2w\nbVsuF0JjzaknFpc5XjGqClX1t/zc8B4DIWiFqASAj8+dAWYwjPrdo132VSCEqtoedziYUXRH2Lbe\njSg2Et4+vDNxEg549eWK2yK6T5iI7ejoQCQSCc0RO1CDugarWC03rpaWlpoUARjskFglqoJzLkui\nlhOp2WwWyWQSjuPI5PDdSQxfj5ZVIVIBIJ1O14VI7SlqhbDezmur3rhXnXyC97OCaOUOl2KROxwf\nnH4idn/06R61+95Jx0HTNTn1rulaQASGWTOB7glBwepTvZZLZuhguoZ81pGi0y9O1XX9CIuqbjLp\nCsAMHcxwt7HpgtOhmzpG3vFw2X59OGsamKHDyeVD2/S3zXQNTmHfWXET+Uwey487BvsuWly2HaJ3\nENdRmBW2t4K6iO5BYrXnkFglKkKIVFE+s9Q0qLCkCpFq23a3b4T1Jlb90/0A0NDQUFc3+rB99s7R\nR0qRIdAthvGLXpZTiaKMbV8VX/D7SBq2gXzWgWEbUqAKhI/m+tnTsevvn6y6rdxvr8GHi98pWm0L\n1lQVM2oWhZ/PwirEIQB8cuEsGLaB7X71UEVtf3D6iVLkaUyTAhMIt6KGiVOBYQc/Y4YO3dLh5IpT\n9Lqpw8lzfHbxmV0KVqAoflXhati6PB66yZBHcftGxPD8JvqPUkFX1QZ11UvatqFYlau1tRXNzc39\n3Y26Z2idFUTVCN+7VCqFXC4nb4LqTUyIuLa2NnR0dMho8Ugk0uObXT2IVWFJbWlpkZbUxsbGuhPT\nft45+ki8PWliYLkQGf8+bhK2bduGfD6PxsZGJBKJXhGq/v30wcwTPdPXAODkOQxb94g13TJcMVYQ\nc8zQsWHuaVW3r25TY0z+b9jutg3b8Pxf/B5TvueKV6a7PqObL5/dZbsfnH5iYFk+qwRN+caqW0Hx\nZ9i6/CmFk3Pkd/WCOwErWI1L9fOjb54Cw3ZfAgzbUPaJux3u8IKAd6BbujxeRsQVr1Lg6lpocFa9\nMVinl6tB3LsNw4BlWTJ2IB6PIxKJQNd1eb9PJpPo6OhAZ2enTC2olqElqoMsqz2HxCoRSjUitbW1\nFclkUorUnlhTVfr74VJKpNbzlL+maVg/YzreOdrrVM90Tf4AhaloQ8fGs2f2mkj1s3L6sXjvlOM8\nfdJNBjNqSpEk8As39fNNF5xecZvO/7sOa1/4X+gmKwjTolAthWutNGQ/XMGse/7XmIZt18wtuY0P\nZ03zjEUdp9j38jOrKBAF7rrBPor1iz/Fvqr7yO2ne3vfetWcsiLDb3VX2021pmHG3PNdtaTaDRbM\nmCk/CxPmRO8hjmWt7rMi24Vt24hGo1LE2rZdkYitlYAdrC8V5cZFltXKILFKeBCRptWI1Gg0isbG\nxpqJVEF/WS7F1HhXIrXeLKvLTpiMFScdC02xWgpxquma66Ppy+PJdA0rph3T6337cNY0JQJekz+q\ndbFo4TQCy5jBwAwG3dJL+pWGogXXVbdvRk35E2bZLPU9Qct13w4s+/TcWdJiK/xvDdsIWJP9qH3x\nU8ryKj8XLgW+9cT+bfvBeVJkqGKf6a5lVfyI75oxC9zhUkAndoiXbVtjDGvPOrns+IiBRVciljEG\nx3GQyWTQ0dGBjo4OJJNJpNNpZLNZGddAlIfEamWQWCUAFEVqOp0uK1KFpVEVqZZlDejSoQJVpGYy\nmS4tqfUkVpedMFlOzWqMecSpiDQXqKJQWPlWzTghsM1asGrGCdg093Rv3xgLFWR+zKjpTlNH3HVV\nYfvZxWd2+X1+1w+x/uV3ZLuqRdOK26F9MCKm+2Mb0hJqRk3ZB0AIQlP6tLb96AL52ca5M6QoFRZL\nw9Y9f4sfsX3xE4boj3+/FH8sZd3i38Wgq0KKK02D8/PLZJaCsH2qtunknEC7gGtRDfNVFS4U3XHT\n6AsGm8WuP+87QsQKV4JYLIZ4PI5oNArTNKFpGvL5PNLpdNUidrAdJ0FXbgAkVruGPOSHOCLdST7v\nBlaEOdX3V7L7vhKDQoSLnIX9Fd3/+oFfBwAc+vYbFX9nxbRjpBASAUICYYF0rW7e91LPlHHBKvfB\nf5yE3Rf+T7f67mf1GVMC08sieCmfddy0S76oeMAVYk4uDytuwck5nuAf0W8hErdeNQfDfnl/6U6w\noq+rf4q9OwgXAGmZ1oQA19Bxw0XYsnqTDA5zhaKb3UD4f+YzuYrbEkJRtYKX6rt/md8Cy0xD9mnz\nf55dXC6svhFTptISfbTiVsC/1oh402tFGu3AOaf6+RK9Sz2JumqCuvyZCdTArnp5+a81XbkBkM9q\n15BYHaKIfJpA8UYTJlLrQcT11tt2T8dXSzH91jeOkNP3bxx8KL7+1utdfkedvhfR29zhhfKcWmH6\n2SvUgJCURGUi0KvFb6FVp76FeBXiKpd2hZFuCqsnkxY90WexrpPnUsgK/ELOw39d7zlnRFCQKsAA\nwIzZnuh/tV+l0HTXTzSfyRUsrBq2rP4kkOhfIMYjRKTGtJLC1YpbAZHvLre7HjNc62rYOmEuBMxg\nAZcKK27J8adakiXbseJWYJloY9MFp3crxRcx+OhOpa5UKlUXmQlqSbksBxRgVRkkVocQ4i1X3Bja\n29sRi8UCAk0Vcbqu95tI7a2bU72Mz48RMeBk812u996pxwcEiUwQr4hDEc0tEGJCWDPdaHDmsYyt\n/ebJ2O2B6st3rj5jity2irBEChEtRJ7qCqAxTaZecqeg3X1gN9iBNE9mzJZCjxk6Wq77Nprm3xPs\nEGPY8PLbMGxDtg9AWmxLiUKxTjFtVUGA6q6wc7JFkSmm3bet/cxT/lSMR7d0AMGXBTGOsP3l70e6\nLSWn+tVj6Z/y1xjzCHndtjyfccdBpq3TTU8lLfHhwteK23JbVtxCpiMjP4s2Rzz/i7GIfSws9p9f\neha2+/XCAS0w6pmBPl1eqlJXe3s7bNuWYrZcuVnxM9BpbW3FsGHD+rsbdQ+J1SGAX6QCxTQmqmVQ\nzblpGAYSiQQMo39PEWG9rMWN2S9Sezq+3nBTMGNmwPqn8t6pxXKkMjl84bdqvWMOB3ccKR78wswv\nZM2oCSfvJuLfeNHp2On/Vm4Z++A/Tgr0yW+xE6JVpFlS84ICXpEKAHZDRPZPFdNiW57p+BC8U9Pu\nA9HJ5QPbErhCs+tlRtQuiNG8b7wayk2Hm1ET+Wweuql3ablVseK2R+y6wrD4v9qmbpvgeQdmPBpI\n9K/uczNqIpvMyty2op1sMusdq23AyeXli4Kw7qpWVSsR8YxR7VtHR0fdJKEf6OJuKBFWLtbvSjDQ\nKnVRNoCeQ2J1ECMucHFhA0GfVLGOEHGmaaKhoaHfRaqgFoKw1iK1ln3zIyo3/WviBBz06muez1bN\nOEGx4BX9UUtZCP3iQSxTp6CNSNCXsqupZpUPZ7spmnTL8PgvinaZwcAdTfpG5jP5wvrC/7Eo3lxB\n50hRpKKmk5LLTPf/zhu/i9i8O+Vy7cGfARoLJMsXfqCqxbZaXN9OXY63dcNmj3AOE6P+42DF7bKC\nVRXqKlYiWtWx8SPcLERxArcvlsfqLM4FM+b20YiUfnmKNEVDPxPHKR6Pl/RXLCUw6k1k1CuD0bez\n3JhUS6yYBRtIlbrKidV0Ou0pz0yEUx+KhKgpfpFayicVcC+Uzs7OPq1eVC3dvTH3lkjtDdRSlkCw\nNvyaM6d6KiGJdXLpcGuh33IqlgFuWqJ8Jg+7IQInX7TGClHFDIZNF5+BUXf8obK+G8wjVP1WRqDo\nC+m3oLqfhYs3YUVUp7IBwIxHkE8XrYBhwnPja2/Lv4t5TB3PFHekKertt64HArrE7zA/U2YayjEp\n9k9U4RIvFGK5Fbc9AUxiOt2M2ch2pqVrQJggNeMRoMR1YERtuT+MqDs+Mx7xXDeZlg7olgnuZEK3\nIdspuFn4/VVFWVg5dp+fs7AA61axQte2q+di2C/vr8pf0S8uwqxshMtg3S+VjqsnQV1qYFc9vCT1\nd/sDgfp8chPdolKRKoKrstksdF2vW5EKdO8i7iuRWivL6jtHH1kIAHIf9q5vZB4rph2DL/15Mdac\n6daWd/0Nc1IgiQAqIDjt7vVvFJHlqnWvOJUb5jfJDB2fXzkb29/6+5L9Xn/uqXK7/qhwgRDA+Wxe\nilIzaiKXznnEm9ovv4uAZ3tx17qo267o1a2gr7Gm6zBsQ7Yl3BugF/eVSGZfDXrETdHGDB35dAZt\nGz53lxeEnOsfW/n5YDcUp9CtRKTkd8OEqhF1ha3Y50bURj6TLa6voF5DmY40gGLmiLDAK90yPC4B\nqhXWyeU9QpXpGsyYHXgBKRXoJfoT5q840Kd6iZ5RK1eN7gR19balv9TYalncYbBDYnUQwDmXN3dx\nUZQTqel0GpZlwbKs0IdGPVGNIKx3S+qSvQ+Bk+OYsOZNz3K9kGcz05GWotOMuVHmq2ac4LGyCh9U\njTmeYKVS+JO7l0JWQQoRtuUQVlTVAgpARtgL7IaI669aGIs/r6g6BQ24govnvQJITPsXx2bDyTlg\nloH0Ly+DfdX/KawoLM+6TCHl5PKhosoD5wB8vnIlRLgejRSCsCB9g7njyBylAat2oW0rEUEulQ1s\nz48ZjxbadwLHwoxHQvtlJqJwQrIMZNo6AQCdm9sAiBcbt3+5VBZ2UzHhP8/nkUtlPf1vGNWMtk3b\nABQtqmHZAFyLd8YV0pxD03W0zjsPjTfe3eV4ge5P9aqR46UExmCrOU8+uNVTyUtSbwV10fHqOfXz\nJCeqJkykhl1I+XxelsazLAtNTU1gjCGZTNa971MlYlWI1GQy2aeBYdUI6SV7HwIAYIaGv+3/NRy+\n7B+h6/mnWwUiubsaNS9yZ6rLBeWmlAVWIiLFG3c4jKgtBSIzDYBzbP7+XIz4+X0lt8EMXQYuqUJV\nwB0uo8XF+gBku2p0v5WIIp/JVpSrUxXozPfw+ezv73jaArypm8KEcDWIwCvhA1rMV+paE91qWyLT\nAQsITiHqSmE1xMIzCBREarljasbdY8o5l9ZXJ5NDx6dboZs68lkRGMZk5alsRwpmPOJajAv7xYxa\nyCaLfRTnm1+k2k1xT4YENbhL+PX2hFpZyYj6p78EXaUiNpPJdMvSX+4ZkUqlyF+1QkisDkC6I1Jt\n25YiVaBpmgy8qmfKVTtRRWpfBYb9+7hJ4HmOcf/zbEVi9Y2DDwUAaKYGZmhwct7v+K2NqiXV77sK\nFIOTAGUaWFQk8lVPEoigHZGSyT/9roo5d0o55/pkGjparj8fTdff5Vl/40Wny/7Jkq5KHlPRLyGa\n/agi1S/eRNolwBVDwoooc68WrI5ONlucDjd05O+8Ftb2Iwpil4W6J1gNsYK4dkWksCqqfqvu/4WU\nXiKFlcYApiHX4fpytm/4zN3fBX/dsOl0v8XbjEeksDPjUeSSaZjxCLIdKU//QoOrGqIhFtaoPKa5\nZNr7WSImBXm6pd3TJ9WNRGPu2HPJNKyGGHTbkoK4mrK24jio/3PH6bKEbXepVmAA7v3QH9w1UK1d\nZKnrfcLOse4Edanb80PVqyqHXjkHEJxz5HI5WbYOQOgNN5/Po729Ha2trdA0DU1NTYjFYgFBW0/l\nQktRakovlUph27ZtyGazaGho6FOhKvhgxklYN6uyeuhGoiCCdA26zaSADUMNeBL/C2ujKlRFuc6u\nUH0j/W34EUJQ/Zw7HG0/+25wGyFCWpQmNSKWJxdocRzF/vsFjruOKdsuZWEUMCU3ritmHVm1SmOs\nUBbVCLQrsBpiJbcdisNhNsRhNsSUUqbMa8G1rYrbEuO3GmIw49HSQrUx+F3/9lQ/VaNwDAEgW3AB\nMCKmrCAGFAsxqBbvfDojXxqEL7BYD3AD0uQ4LaPk/vO/oCTnXxy6Xm/gr2cvSoEK0VGuFKjwka33\ne+JgZSAIcCFIDcOouNxsZ6d7DarnmHh+t7a2orGxsT+HNGAgy+oAQIhUUVO5lCU1l8vJwClxEZWb\nAhsoYlX0sb8sqWEwszCdnecyEKorrIThKS3qx4yaRUupHUxfJAKT3L+LASz+aHozZiPdlpKfhVGJ\nxUu3DGiGDpSwvquiTLV8huG6GDhwcnmPu4HsczzqmU4Obc8yXMufkuOUO9xdxt0+bnlzGXTbgpPN\nle1PmKWyGjRdD4xBWBM1Vsg+kC8cH0V0m/EocqnyEfkqZiIaXBYPLgMAMxaFk/X6w6a2thX7zBiY\nUbC85/LSAl3MWqDsD03znKflStSKDARGxPL4BAsx3tU9ZuWUYwEA+/zl+bLrdRchgAzD8NwvhJWs\nbd75xQwb1/6qTwJuiMFFOXeVXC6HTMa95rPZLDZv3oyvfOUr2H333bH77rujvb0df/7zn7H//vtj\nzJgxPXJbSafTmDhxIjKZDHK5HGbOnIkf//jHPRpbvUBitY4RJ3ou5z7Ey4nUZDKJXC6HSCSCeDxe\n0U11oIhVERhWDyIV8Naa103WpegR065uDlE316hu6XjrG0dgr2f/Eqhdr4oHM2ZBN3VFxBqh07P+\nSkNi2r8SQWY1xAJuAUbUluJRWDDbf3EpEtf8Bp9+7yxPYJVAt4xCfflsYFsB4V0QbWY8UqxIZRoy\n76vVGJOiNAy5P+JR8FzedR3QGKAp6bP0YtopMVXPHe5aKksI8GqsO5quQyvo9TBrqm6bocdKiDqr\nIYZsR7CkqdUQQ8vaT9x/trYhMWq4/Ez4rZZCtTY7heC7ovsHV8rEeq8ftZiDfAlKRJFp9/ZP+EgH\n2vWl+hK+swCgm6Wv1fdOOs5tV9ewcsqxYKaOvZ56tuT6taTth+e7bStj9+eGFVYw4cvrLwPaX64E\nA8EKWS2DcUzima1pmvRNHT16ND788EOsXLkSixYtwquvvoo777wTy5Ytw7Zt27Dffvth//33x223\n3Va11dW2bbz00kuIxWLI5/P4xje+gSlTpuBrX/tabwyvTyGxWoeEidSwi1gVqdFoFIlEoqqLvd7F\nqrof6qVYgZp3U0SAM0PH6jOmYM8//CWw/lvfOAJmzEQulZNT+HajhVwqD6Zr+OKi/5D5UsW0rF94\nCoyIFbDKiehzIHy6H3CFQ6YtCSsR9Yg5J5uTU7nqlH0xPZQFp/CQ1goiJfl/rlSCuvJS9PgtamoZ\n10BwUYi/bDkBZhb6qPq1GvFo2SAl3bY8gV/cCQrfrqzBgr//5GUAwOHXTwYAtK3/VAaWBfqaiCLb\nngyIV+44MlrfDcAKitjOz92I++TmVrmMGTo6P2/x9Dm+44iSfWWWIfuV2toGZhqB/eQpYlCwQmu6\nXojg97kKhYht6TMckt1At01vSdpoJGDtFaw6+QT5N89zaAUXhfdPmYJxTwSvpVrR9qMLPC9PMjBQ\nXNs99FUU7gaDTXj1NoNRrALh44rH4zj44IOxdu1abL/99rj88ssBANu2bcOyZcuwbNkyxOPxsM11\nSf4IX2AAACAASURBVCzm3i+F28Fg2afks1pHiJKoqVRKnmRhb+7ZbBatra1ob2+HaZpobm5GJBKp\n+qSsV7Gq+qQ6jgPLsupCqALF6VDhK2rYhpwuFflQVcRnqq8pABgRvRhYFTFDXQNEKUtm6FJMqhYx\nqzBFXCqIydPveLiQVQkTUGqwk7BUqkIHEP6hXecttZq8N1/hi6lbhgwQA7z+mHZzg/xbTCsL8Sr7\nVhDFnZs+lz6qqpAGivvSHlbcnvysuQFmYwJWcyOswm+zMQGzMYE3fv6qXO/vP3sJRkPC88KiHhuj\ncBzEvhCCvbw7QgxmQwzJza2F9Zn0g/XkM1V8ZDs/2wqzIQYjHpU+tEYi7lk39cU2+b+sduYLohP7\nT6QEk0K1cB9RzxkzZgcriCnWVCNmg4lSv4XtCd9ZZprI/fpqz3dVoarpGpipy2tJNxk+OP3Ekvus\nJ7TOO08p48sCFuFSVOKrCBQNCMJXMZVKoeXac7Htmrloufbcmt1vB6uwG4yUO1YtLS1oamqS/zc3\nN+OII47AhRde2O2Uko7j4KCDDsKOO+6IY489Focccki3tlNvkFitAyoRqWKd1tZWdHR0yBRU3RGp\ngnoTq5xzJJNJT+BUT8bXWwihqvrxCSHRFVZCScZv6ki1JBFpismHpbCOCvHm9zl1xZHpSQdVtr0y\nQURhn4WJWt22AqJVVHtShY4/D2qptsIChsL6YzUmim2GTD0LjFgUmml6xZMU96VFtCtQg+LVj2Zq\n0EwNZoMBcEe6QHiCxSLednRfcJnV5I6FhfgKt679xDM+/1jDRGvbuk9kRgL5mR3MfQq4x9S/Tb+A\nFkJUFeLqcnc7UU9O1lKECT9NWbZmRvGlTohzUdxC3cb62dO7bKtSOOdI3vBdzwuBOIbF86b6x6Eq\nYm3bRjQaRTweRzweh23bSP/EDUwU94b2H38HnZ2dMkhWxCEQQ1OAt7a2esRqLWCM4V//+hc2bNiA\nN954A8uXL6/p9vuL/jdVDWHUSi1A+HS/KmQdx0E0GoVlWTWr9FEPN0phSU2lUgGf1Hq6ma+acULZ\nz3VLx9pvnozdHngKAKSfG4BAxSS/sE3s0Ij2T1tRCep3RWBSsaIRkymRgPDk/lZjDFnFF9HyTbNr\nTIMeFemhcnIZd1yh6p/6Z2bRHQIh0+Miyj3MB1WPWNBDpqrDUP0x5TKfQPMGfXktih5La3NjRWLf\n3aYGPepu9/Wb/oLxZx/oqeTk38dCkJrxiEx9JX2cbQv5ZApmYwL5ZBptGz5XSrx6/Z/9ItVDoZJW\n6ottHkuhcM8AvG4j4ri5Kck0mRdWwB1HphOT/Sm8fOi2GUiNpReC3ZxsMS+ubltwMllohu451sy2\nZDDah7OmueuaTKbP8qRqs4olbJ08x4a5p2H0fY+HH5gqcG6+3PdCUPTNZZZR0oe5u7Re923vAuV+\nbVlW3deyJ2pHORHe2tqKYcOG9Uq7jY2NOOqoo/Dss89i33337ZU2+hKyrPYDIv+f6lMSZknNZDJo\nbW1FMpmUeVJt2675Day/xKBqSc3lcqEpqOpFUANA02j3pmJGTY9V1YiYcpqfGTo2nH8aOjo60Nra\nCt1igXKmVtyGGXWn/lUBVfRpjckHODN0mDEbRtT9KWe9FJQSqlZTXE6Hy2WKNVOPRjy/Aa8bgG5b\nyLYWc3bqlqkIQlP214hYMAp9lpWYuDdHaim3BLMwnS2sqo6/ilWhP0ZjIzRFvKa/2AqgEFhl6GCW\nAWYZHuuvOq4wNr/7IT5/5wN88c5qAMA/bnsB1nCvQOZZb6Uud8ze22ipgCLd14+OTzZLK60qpPyp\ntjwCXGdd+pX6szSo2xWUcx1Rz4mupscB95iJsTFxHhSOky5cAWzLYynVmCan/MOsuEahqlst6Ljh\nIqVd79S/ej3ptoX0Ly/rcXst155baEyTv1ULbldpj0RWF9WVQER3i9Rag9EKORjHBHQtVmtpWf3i\niy/Q0uL6uCeTSTz//PPYZ599arb9/oQsq32I4zgyBRVQ3pKaTLqWL/UmVmtE+319kyhnSR1oqNO/\naqBG69Xfwg6/eRgbDR2ccRi2jlzaK7yEFan90xY0jGqWywTRYfHQIB7dLk55i+T9XVkJ/VPvdlOi\nrDUzYHkq4P9OWHCU5hM4YjtmQyxQDtRMxOCkMzAT8ZL9sZoa3OAWf6BQxIaTci1+0srpe7Fxk9w7\n0t8WAOxhTZ60U1tWrCuMWYNeEE5bln8Iq7lg3U8WqoY1KgLSMtzrhzE4eTcbAdN1gGlw0plQwcoK\nwUwA0LbuE+8+DhGFUkgVxqQeZ2bo0jfXn+vVHUtxmlvknAVca2to+VjFDYBZZmB7arose1iDLI7g\nt3YLa2s5ikFvxXPWsI1AIQvx8rbpgtMx6nePlt1mKTpuuKjQntcKzizDY/3VS7hQVIMUqQqqGC4l\n/LtTpUtdpx6ssO8ec7T8e7/FL/RbP+qRrnxWa1kUYNOmTZgzZ448Z2bNmoWpU4OxFAORgakQBhjq\njQYoLVIzmQySySQ0TetVkarSl5ZLVaRWGt1fT5ZVwLWqulOopicK2rDdHKric41peH/GFNgJC6lW\nV1CJUpWlAm6suC3rqoehPnRVhNAolb9T5ur0CVqrMVEUFizoc2ok4nBSbr5WFolIK6WY5lWne4Wg\nlTlQNS1g8Sv2xxWonZ9uBT7d6vlM9ZkUfrFWk+tXqsei4Pm8x6LKTAPpz7fI7+azOY9QFPvaiEYC\nVloA2Pb+hoB4C1SeatBhJHTk0+7+W/XMMux10gGhY5P9KogfWbGqMYF80t2Xyc+2KtZZb9CaGJPa\nd3WZSHvlClVvhSi1Wpf4biV+1LptBnLGiuOg2+E+vyJlmPjNTFMGujHTzRcsjpMei+KjF94q9Edz\n3T6yTqh4E9ePisYYPr/0LGz/m//uciwqnTd+N8T/l7k5cjmXLzK6bQGOU9LntxJarvu2J9OGKIUs\nEMepmty+5ap0dXZ2gjHmcSXIz/8eACDy4ztr4krw8bkz5Hg0pnX7haFSBqtlFQgvbgO4ltVaitXx\n48dj6dKlNdtePUFitZcQUzXViFRWyPNnGEafXbR9IQa7I1L7sn/dxYpbyKVzsOJusJMsl2oZhf8L\nNeOV4BGma8g7HJGmCLKdrrgMfWgr07Tlpv7V71oNMWx5f6P8X80fKdpmho64krezFEZDAjyfB4tE\nwIWgLTzkRZ84525KK/V7URv5kOT+HmEMoG3D54F+ho0JANrWbnT7vesotxtRX1J8IcgcxyNURd88\nqbMaEwHfWdX3NCx/rGcchcIOTNcL+Us1MPiCgwoijZmuCFQj9ZOfCXcF31S+Hp6/FCiIycILkkhT\n5vbbtw1Dl9eL2RCR1k8gWARCJPIvtlEQ1759Exu1PTo3FY+VCBQT7RU7U+w7s63iOQNIoQoUywEb\nti5L84plwrXGTe2le64pANhy5TkYfuuDqITk/IvlcZRlc7WiRVc33RkB4bagR4NFOCql5bpvlzyH\n/fu9lPivBvEcMQxDCtnWeecVr/dCBaVMJtPtAgcbz5sZuA4+uXAWdvx/jwTWXTnlWOgmK1vwZChT\nToS3tbXVPMBqsEJnVo3hnCOfz8uIT9V53u+Tmkql0NLSgnQ6jXg8jsbGxj6xpob1ube2K3xS8/k8\nGhoakEgkqpryr0ex6kmzFC8GNnn9A4PryM8KN3QzZsmHmVYiTYlM1xSPwIxHoUe85TzVFESqUBWI\nWvBML/pFdmzags7PihZNs7kRZsKXDkpBtTjJKUvxMBZ+mKYh//aXUVUFjtmYQOuHQUEtfPqkZVVn\ncgpbrJPc+CmY5e1fZmtL0e/T0OWP3L6uvih493HLmo/BDFYMFDOK0+kb/vmRXE+UyrWbCv6ykcKY\nCwFK/gh/XRm/KlQ7Pv7csx40zfU/LXG9mzE7ULJWthsmdn3b0QwdVlPc0z/dNkPL3PpdN4Ci/6lu\nGYhsV531RzNNaLqOjUuWFbfnSxNlxS3Xd7tU6d+oct4Vxrvtmrldtp38+aXu/mHMPR90XR57jWnF\ncQm/2h5YVFWRCHizgqjjYqZRkb95d2j70QXSFURjTPrDqlkJ9MKLpnAx8/vDqoGsn118ptx20afa\nHdMX3zs70D4zdTBT77FQHayW1XLjchyn2ymqhhpkWa0Rwr9I+KQK836YH1I6nUYqlYKu64jH4zJH\nX3/QG2KwJ5bUUturF8RUvrAKCUTlJVVIeix6UVN+x4wFH47JLe2IDk8ElodhRG034r9QxpPn8mhZ\n/3no9CNQTALv7ZuD9o8/Q9NeY+QyPRpxp0NDHqqaL4BGtWKGlfk04tFQi3HL6o8KDz4nIPCBQgCR\nL4JeVk1iDMmNn7qfF5ZpWuH6EtPf+Tw0jUEz3XXcZPwxONmcdCMAgNYPN8r9Iipv+fPHApCR6V1h\nJmLIJ9MwEnGPVVHQumaDFKXq8RBZBWS1J6tYcrfowmC7MzWFUrXSncFnLSxuO9hf4RMcZj00ohFZ\nrlYGSInjrewLUw3Gs61i9ggRqKQGnUVsbHzlX4WXAUeOR1iH/b7OZszyWI09/YuIfL7ufmmddx4a\nb7w7sF7y55d6/hcvVfJlxDKlKwyzLSBkP3UVhKfSfv135L5Xz+VAPtpeEKlCALVf/x1vW37f5TKu\nBCIjgXhuCcOKk+fyHNUY84hQjWklLdyiBPWaGVOxx2PPdHtMQ4V6eq4NBEis1gAxlV/KiirWUYOK\nqrUw9ha1vDn4RWpjY2OP3xrr4eYlxlUKMx4Bz+el6NF0Bp53AtNodkPQoqVbwahnqyEq/WFda2NI\nyU5fffjiQ7O4v9TtqgE0qj9j65oNYIaOxC47yHVZpPjAVreXbytmAhAiRvV1VFMUhdHumfovPtzV\nsqgqQqQGBK2sNBSMimeG7pYZLRPF3vrBBmWKODxxvxkzkW5Ty9dayGcd2I0WMh05fPjiu9jjhC9D\nVyo0GQmvmOMOd0VqGUT78tzxjVWWqnWcYmlZ00A+661M40a2m3CyWTl2YU30B3uJ9dztF4+1CABj\npgEnUz5ICnCt5E46A6Pgg+xHN3Xks3m5f3UrKKTNqIls0m0r0hQNfK5aljVdl+dX248ucF1DfvR/\nkZx/sRTKYp94AwTN4ouc7xw1lBeYaoWq247rRy7dCxQRLnxi5f4IsZL3hM5ClgP15adSn9hSVbo2\nXzbb3aauwUHpLBPiWRew5rPKXu6GEuVEOFU6qxxyA6gB8gZZOPHUKHvHcQJT4fUU/V4Ly6p/ur+x\nsRGJRKIm0xv96QbgH5eK3RApm/5Ht81ACqKukBH7jMlqSH7MWDSwbOuaTYXqP94qQLIvMs+omP4M\nRnt3fOwmmFctaXpDAiwaBQrHMZ/OeMSjxhj0grBVp7vDXBraP/rUIz7llLAipDa+tQ5GxAqdFtZ0\nHbpZ3J9S1DENKGzvf+/7K5b+7lU57a3puuI/6i5rlZZdePth6IXiB2LqmyHa7B4Du8ErMuwGS5YG\ndbftLTEq9qPYp3IMSntqqi+xL/2I6XrOuXw5EVZV3TTALBN6xAqfwtcL6bt8szaqODVkWrGgRZMp\nbix+EWcNK/rYBfLcWhaYZeHTv73jXV7IIWvYhozyF7MU4jeAUMuvbptFS69pSOszMxg6b/yuXE9Y\nmdVjqu4bOe0fESnaiteYHum6CpxKWKUxeZ35imgA3v1eE279/zznjBxzCZeKShDPMbXoiW4ymT4P\ngHypar32XHR0dGDtWSe732UarLjVo5Rjg9WyWmpcQvATlVEfimkQEHbSJZNJZLPZmlkZe4OeiMHe\nsKSWa6uvLuxS4+oIWbeUvx3gPkCiw+JIbu0IjeKPNMWQ96VyUvOgGjHbrSVvmu50dsGS5Uc8HPxW\nOU8OV9sKZBnwp9VJbnJdCWK77ORdLxIB8nkpfPzT1J42IyVqwWtaofa8K1h53sEn73wcWO2j11dD\nYwy7HLqHm6HAV+LV46tZ8KXTmIa3/+u1wjjcv3WLYfw5E2SwD4tEsG3FB8V+qJY30wDPF0XS5vc/\nKXabaTAiBnKpYNCYsJ76p3nVsrSBIDdVPEUsOJmce5yUKX3RLnd4QLwZUdsNEPPnVlWCuvww0wzx\nq434rH7ucRNjsUc0I725WLJVj0WRT2c8QtXThm0BBUv3528WK+bopl5I/u94Iv1FUKLA/b94PokX\nPX/AV0Dk+6zImqG7rixKaiq/hdOPKlRZxEZXd8Pk/IuDBRwKhQXKvRzUCm+WA2WGorAvMrdeDuvK\n23vURthsgxFx96M4R5yfXwYnl4cVtwL3MREwPNQLHJR7tra1tSGRqMz1iyDLas0QF6LjOOjs7JT5\n8GppZewNuiNWe9OSGtY/0WZvI0SqWqTAPy4jYpWM1LcaYm7y/oiF5ObW0IADYXmIjSikY5L5L8P9\nloXI8EzXlvBxFrk3dcsIDcwB1KCS4kPf/+BPbvwUzGfB1SxLllkVooTZlgxsUvtlxLz+qu0bPnMf\nqJqGT975CBvfWodP/h0+PS4swxv+8YFvP5hFQVawmLo/RqE6kwhqYdLqueLRv7t9N020vPdh8QEv\nZkKkqCxM2yrphQzb8JTGBYDY8OIxMKMm1r7wv6FjYLEoWld/FGpVL/rFFiPfu0JY02Vp24KPqD9A\nSJwrMhF/ifNE9wVYqVZxs6nR/W4kEhDhpuLmoLo8AHAt8Or/igVcN5nH2mZGS4tHqyHmKRgh/i4V\nbMbU4CnfeaiO37+vigUwFOuqP8tEKZQXCk/RCV8BjYB1NRaFETIzUg2qJRkoBAUqwVs9CRZrufZc\nz8yHuI94ClQIC3chmIsZuicln7jGtlw8W2YlSKfT6OjoQEdHB5LJpCyGo+aMFb8Hq6ANG1draysa\nGxv7oTcDE7Ks1gghUtPpNCzLkrWi61WkCqoRq31pSVXp7RuYCHpLJpNdFikworYneb0oaWkVgp3U\naXLxcHVzsOZhN0QCFgh3Pfehmm1PlnUtEDDbAoP7cN6ybE2X64vUR8UUSG6uThHswjxRy64VN7n+\nY2hMQ2SnHeVnqkVVzXVqFIKLmG1Jy68eK7oPaOwLbFy6VmmjELyhF4OD/NPghm1g01sfYJcjvuQp\nJOA+mAt5QbkDQH2RKPrssYJFb/nCV7HLobt7fHq5w12/YuW38A31C0wR+a/2S81goMeigOMUgrk4\n9MYG8EzGY1GVAWIo5o8tHhsr4H+qWrWMeDQQCKRar6UwEz7Jyu9Qy3fURtu6TZ7PhDiJ7zwysL7o\nYxjMNKBZFnimeD1sfnulDKoSvpSebSn9MmM2Mu1FX3BVpLq5X8MFbVj6JzFeIVzFeawbVvFlJGK7\nvuVR22u1ZgwsYocGXPkRQVyq/6zbJ0sGb4XtL/8LQndI/vxSxf2Fueed71zqCcLnVhSaEMhz9v9n\n782DbNvu8rBvrbXXHs/Qfd/TiKUnArIkLDCSC4ERIVAOJI6pqIoo5RgsymKISVIWoZJKKilSCSHl\nVMqFXLiMq0gCRSjARYVYxgYswICwJGvg6elN9033vvfum4f77tDjmfbeK3+s9VvT3vt0973d9/a9\n6l9VV58+vc+ezt57fev3+37fZ8YJen74QJW491rKLwVPtCqBXfcagwPKvAJAXdfB33d63EpDgLs9\nzsDqMcX+/j6UUphOp+CcY3d3947o9mOMWR3YobhdIJXipHirsTLDUbjEQ3ah9v9lWNYk+ao4UwHo\nQd/nPFK3P3VcB93pqcuuAaG0DA0qBKYt57G3A1wP3EF3uVkva93DdfHK69qtSQg3QPqZlrIwFAGv\ne9zb3vaTl/DKg893th90aRPQk92GqVf+/ALe/h3v1WDTLK9oe1wLvD/0fzvHnCTXTki+VNfLD1zC\n2z/4LgtYfRWAtm4gyyzYF38fKYi3Slqg9aK2VqFE+RSVzjay1H3HASg0JWoawKikL4zRgg/KLZ/U\nnMsrj78Q2PbSd775nnfqv6XsqBAk4xHqnV17zey/fjU6v+66AYDZa1cAAMVb7sG6YJyB57k1jGAG\nlHCvnE5aw3HxztIARoWmBpQZeCICQwsCz40Bq3JUeCX9EKiGE62wiVCYZip7TXIO+A2B5toVZXFo\njVVf/oxUKfxmNFGEoPc4QGp3J0xml4B5Gp6TozSK9UXAhZWJa0DLpL1Pklx2qCgAAhvqYJ2HUCUA\n0GlUvtOpBAeB1TON1cPHGVg9phiNRgHoO436oH2xbj/btrVg7nbybo/7XPYZMdyMfFg6KTtC836s\n47UCgGpayKpAs1xZkJJtjLU8VVlAFBma2QLoaYQBXPbOl16K+avpSGd1k7zHIYixQNZHi8tzywkF\nTDYVrQWtuqzPaQcAkDxQakHMU//vZ4N91L+ZlYPyu5fJQIHOVx94JdAc7L/PCxXdwVOkuhHm9fMv\n4q1/+T6oljrTpQVLbd1aYH/5fAis48yqPZ+VBrgvf+5hvO07/lLvMoAp83tAWxR58N34nfkEbOhc\nXX44pEK0jTsnVnf0wgsB6PSlyABg7+VI29WEL7NEWbLOvksJnqZo9med//XFlfsfDeS4mmX/9Sqr\nvMOfTsdlh5+ajougEmGVEdDtrLeZ1Kjbn6epzt7luTW5gGo1N7VHuUJUFbq1Dx3Lf/jfuAmHD0jz\n1CoNBOvqAaq8LA7kxPbF/P/4hFmBA2wxSAVuPLu69T/+GABSUXDglDjZfjacJMauP+O43X1NVVd+\n+m/jnn/462u3SyCWMYbVaoWyLK2hDmVhfZcuH8QKIQ5lcHBa4yyzerQ4A6vHFB0JjzsYrJ4WkOrH\ncZzLmwWpBGj6BlYASKeVfaira7ud/8eR3zMB2har/dDfPo5mtoDcGGsHqVUdNFnZwWnN+ZEjU6o2\nAIfci0SRQ9UN3njc8UeDcrUBQW/+1m9wpcCB8hzPc7SmHMzzHBf+v39jQakFRpKjXjSAYIHjjZM2\nco8jAq+MM7x6/wW87UPvcftohN6pFJvkSaB7m1YJ6rl+X7sVGfD3+Et4yze/w5SAlQYZRrs0bPZJ\nsdzrNrLl0xA8kV6uGFVQbas1XoXA7lPPuOyzWe+QsxdggFY0EfGBqp8lBiLZL29CARi1A9HNUPtU\ni5juQJMDcsBaXN1CMnVcOjHAs+S5btLiRQm1XATbA9z13NaNrRKssxPuC8vpNrJdjPMObcUu61cg\nTDaVJfqeGQpeVTbbyqtqcEIYfoiDca883irwzJssDmRTYx74YcKCVDi1A9W23WzqTVIAiLJUz5ea\n3uFdX13dZjdhUm1jlyVHv6NYylL4GUhrPNKjUe5nYvuoBEdx6boVsS6zur29fZZZPULcHcSQUxDx\nBck5P7C8fhrCB6sks7W1tXXijVNH3cebCSr397mFHSXKt64vj/aF5a96A1gMJuRoeBDrk6Lp8zBn\nguumjmj5uFnF57i9/tCzQSbRcTE92SvJ8cYjz+DqY8+65QZEzsld6uKnPuvWZdyzAG2k4JcJ/WyM\nL19k/5+T/BfHlfPPBvqv8b7IXOifUtr9psYev4ns8mMv4urFV205OXZzSnIZcEz79q3YDJuLOvvk\n80/XcApJQomnSed/dM7sb8/hS8sHsbA5jkAri0Et75T7Y7cwIGwUZJxj9tKr3UzheIRkYwphmkJ4\nWVnu8rWHnjBKD2HDDxOi1ymqz0UL0FWK4H6IAEvQEBWDU3pN59X+NrJL1KjW00jFi/Xfaf2P/jt9\nPD2WuIHcW08JnpcFeFng8pfP4/KXz+PKT//ttduiCIAqfZeJCGXFehq5jirD5Ueg05ynFsTG1ws8\nNQ0gvEe0M5l+Fm3/zI8faruHUXshAEv9IEVRDLp07e/vW5euxWKB1WoVuHTdqjjjrB5fnIHVE4o7\nKbN6WkEqxY2eS8qkbm9vYz6fo6oqjMfjE3EM8919AF1Cq956DgCQb+rOf7/TOdvoSpZYvUYz+FDn\nsD9AEyAURYHd516x3f9+pKMcclQEQDU2EfCzqXrbHKRdCZDGYqhpevX807j++DPaISpNdaNXUYBX\n7tif/p3PByV/e34KacFpIKkVg2uj7ehHUDbPUvA8s+898U8/o5cR0WRRhtcugVd7LBde7gzy155+\nxe4DxeTtOvORT4tgf0krNMkSvP6Fh6xaQrAP1GDmDVYiSyHy3H63lnsshAU6Vx+/ZOkSHVAZ6bTq\nY02MKoJvURtmNwM92dQHpsxmJ0WWagH9CKwDIR+1L1xjm7sehyyEKZIiMzbC+ritzjAcmOUe2A0c\ntLyJSyA9dYQMo6iqgxfywjZviVCNwe5zT+aUsqlv3P9YcE4Pso1d/IP/2pts0ISDJjBi0L71RoDq\nnjEXsOuI9KGtoYg/AZFJpykS6FpL34ogKoGUMgCxZVkiTdO1qgS3C8QCZ5nVo8YZDeCE4k4Aq1Tu\np7LKaSj398VRz6XvgQ0ARVFASnmsJaFsc2z1LptI+3S1s+8Btq4LTB+FANBgoV3WB5b0CLD6g59I\nXfODLp/3f1bkKV5/6Nng8x3XpIh/FjsrXXvkKWz+5feEy2Qpnv7tz7hue6+ZSZf/62A9WiHBNNAY\ncJhWqaUDuPW47b7x1Sfxpr/yXr29RIOqPupENs5tGb+Xi2mA+dUnNWCPy+z0uXVe5+TO5G+DFyWQ\n5W6bnAM1As1PVTcBiCMdWIpkVNlrRJ8DV76ncj2XCaCUNXfoU5jwu+6JG0wi+apuOkCHeJf6fAiA\nMzT7My3yfwgAZPfN4077ANlvoJJVfqhSMenYxpGUzukq1EjNbRmfuvs56cfmmn4gxiOtu+uX/8tq\nrfNa80/+B/uaXNP8iaWmlITnKC75+98pRZ9tLGVT+yZ8Q1Jk8Xk4aviWuMTlJoqM27ZntJEIzN7Y\n0t3/a9Z7FDrAcetoH5ZK4EtonQSV4CAawFlm9fBxBlaPKe4kzmrbtpjP51gsFjbLeJrFiQ97Lm8F\nSE3HZQecylFpBzs5KrHa2Uc21VmbvqYf63XOmG22SKLsKS8L1Fs7+u+DwKsBI0mZ9TZ6ybKw67T1\nFAAAIABJREFUnMjLj1zy+KieRFJPgwRZvfrAk0rNW489DZ4ITN7/FwEAz37qz1y3umBoVqH9o29c\n4IPUejE83JFwvA9yrz/+LDbe/40AXKd8Ns6xmq2QVIkF7Pkkw2q2sg48BFDjAVRI3nmPtEH798l9\nF7Jwr689cB73fMcHO+uhNQ950QO6k5+4rVceesp8lnvfU9eG1Y+YDhD+jxsQyXUzV9MEIvl92bE4\nxLl70Fy9Eu6zKaXzaoTrX/6q3Q/7mTSJ+L3rwVQ6Lq0qBWNdnmRAG+AcaBtHC2nbQHoqbp6KbXn9\n4KUBrZwBrQKrxp1lrL6wat1kgfOO+oI99qrqdwWzChGt+a2w+7/83cBpKzaGGLINthPam5R4Wv78\nTxu9YuNQF20vllqjRkxS0SjumWD/8nWrfqLaFs1SNy5Spv80hQ9ifeWXw0hrUUPXUVQJzmgAxxdn\nNIATitMIVkkLdmtrC23bYjKZoDpiKew0BoHU7e1tzGYzFEWByWRiS0DHHXHJP44+offD6KcCXR5e\nzL8Tnog0UQCobKtMI0tQfh9XeiAGcOXJFy0A8geRw9gjctPURK8pdh67gN2nnukMSgT2ZCE7QMov\ns9PrQ+nLmqzd9fNOWzaWyvFL3EMDpdZK7VpVplVm35983Tm7fgKoMVeVJ9zud+BmJGVQWrfvm+/K\n7qsR1ucy6dqWDpgFEGjr0xqNw5oERGL19nVOlJLM/k9TAbSWLRMCqu4HZPG+EqDmCXdl40T0ml0c\nNuPGpdT745tyHNCkRPcJY9xmhCnLaQH2AD+Vld1nofrl/znY7wC4+batlP3u4cNef/Si2wZn2i5W\ndKkWBNItSDXSbACsCxlPu9dKHDfSyAWgA1STIrPUFJ5Ky5XlUt/TQ9dgGj0ffe7tUNxuq9UhKkFV\nVUjTFJzzG6ISrMMAZ5nVo8VZZvWY4jRnVuNMql/u9x1Ebnfn5FCsO5eUSW3bFkVRnBhAPUwkowpo\nW/2Ab11ZjSKdjlDvzWw3PgBk92wCqsVqZ//A9RNQZXkG1JEXvUzsORJF133oyuMv2Ayp3d8sFI4n\nYBGXIH1B8LhTmHGGK0+8FCxPpem0SlHPV15DD7fZNlmmaJZdbdNs3K8RGXbDM+xcfA5XL74SHEtb\nNxYoUTNXTLkgy0/NX3XZ1r7s5bqsUJBFzKQ9Z7PHn3D7aTrFAxH/LNU0Dv/cAoBxYoo5vARqfHBt\nbS+9jGoIlr1rwZgOkGSWK59HrlcDJXc/Uy8mE20A0EMVsgDLt3DNpNXy9asRcqyrDwRq6plTEkgn\nusLTzOb2fPVZDJOwP6BBY5zJ5GUxmPm0+1w6KgCrxvZ1/Cx0x2W+CzKlQEw96F67oqq8LLZ3fSkF\nIPxe7WvKqhPl4JAc+xsBqXQOGWfgEIHmsj2GPLIVNgYjdrv+xLeIbHPzdC3F4rQHY6yjvd0nrbVc\nLnupBGdg9fjiDKyeUJwGsOqD1DRNezmpvp3pnQRWbydIJRmeYB8HuL7ptMJya8/+rR2JTPn63NQN\nuD1d/6Iq0ez1g1heVprjauR8tESTA58ko2SXNzJSgB4U/TJ3nP3qc5Sikl6shXr14qsdnqpqFWSp\nBzjrkkWNW2VmAWuSSwtqm1UblP2JR5eOS0ApNEZ43VmkOq1LLhiaViEb56gXNbJxhtX+0m5DFhKr\n2cpqo8YaowEvUPRfQ9RgBeiGOdW2AcgCgOsPPIL83g27viFusmoaMN79vrcef6Zn6YODgGJ8/YvM\nl+ZS4fuHkGjixqwAMu1kI1mu/957+BGQlJP7nL6egomRMbqgRj+/+S+djNAslhaoAvo+IZMEa+tr\nvntRFDbjG5T/jch/sJ+FMa0oSijVaoC6jMBvNQrktPb29iCEQPFb/8A5VZFcldU4DUGYKIsQ2HsV\nK00jMK85g2raYILjf3csEb2TBntu09RlQEkLeQ3NYV3U//i/txxmiqTIML+yrY9h6jVCEnWkVVhu\nO1k+39UuDllmmqJxCLB9msefONbxYWMqQdM0lhvLOcef//mfQymF97///bYKeBaHizOwekJBAOt2\n3ISHAal+nPaHhO+yVdc19vf3T0UmVVIWyAOuTQRgmBD90kQDWTueJhDTSZAV6svY+OuhxpahuPbk\n87r8yBkAHjR59ZVpk8KVw9tIo5JoB6RhSaCSACt1m6u2tfaLPAm3SXqMtL6h8AENT4QVJxepdN3R\nTZeDCoSZW73NWKKqv5QaNq11983/nKwKe36oKQxAYMVJJVufRuEHNcv54JFxbrnOMQhIDABQ7fpr\n3rpjGacyC9Cz1HODSgNDAGrS8UFYzIFmaQoUVZDZF9IZC3T21wOdsSLFQUHZ07gJzf6/clxxXhQu\n+1+UWvjfAFQ/9h45b0v21V96X+92y7LUAvQ0CaMJUgSEeZ5Brepg28DBGU7KSlIjExfCaKca+oQQ\nTpGBmYz/Cbg3Ma7l7hro59eSOPLmXl3u7COdhr0MvCcDL9IkqBYB2tDhay36XLr29/cDRYKvfvWr\n+NSnPoUnnngCSZLgB37gB/DN3/zN9ud973sfsuzozXIvvvgifuRHfgSvvfYaOOf4iZ/4CXziEwfT\nL+6kOOOsHlP00QBudficVKWU5aQe1OF/GrLAB0XTNNjZ2cHu7i7SNMV0OkWWZbf8PPfxVUWRW+Aa\nl0IPG0lZBHI8gB4cA0F2KllKib0LT9tBN7A/XQP+fEDLOO8AtqTIOhatIpNI8lQ3TPglSyGw88Jl\nsy5m9VDtvnsDmuWlevzSGDwGjUs9/FUuE8OBTO0x80SgPFd21u2Ot//xFktn+UCzoycJTU0YanDi\nkYQPlft9fVHAaXwGuqs9fHEtieRp0Zpzn5ifeFn94+lu5mnQ2Q/0Z71o3/qyXkxK8DwHy1KwLEXz\nmqNboPD22eN4DgHVw8ZBChik59o3ceN+FrMnU8XKCntPXsD+U08H78+eeAqzp6NsdlmBcw75m/+7\n/qzJ6DIhwPMMPM/tBKMvePSdXnvgvJ1YxZMfomIwzkI+qFnOVkno9yGf0fE+HBRJWWC1s98rkVbv\nzQwHuzvhjkOksnPviCJf+0yiuJMyq0cNArFpmuITn/gE/vRP/xQvvPAC3ve+9+Enf/InMZ1O8Xu/\n93v44R/+YWxsbOBXfuVXjryNJEnwyU9+EufPn8cXvvAF/OIv/iKeeOKJgz94B8VZZvUYIwZ9ZAxw\n0nJQR82kxnGawWpd11gsFmiaBmVZYjQanYqHmhyPbHkwjri01smq9gh5+1Ff38LucxogEEja+NZv\nsv/fe+Kiy7ZQ85JMA0UCyvZev/BCb/net10dEmiPg6eJvVa2n3/dvW8an4gP2qwaW3Jfl/Gl5itf\n1ojK/v75kVUeLEODnyy8DKsJP1OcVhnqRY1m1SLJnPxT77GZ/ZRVgfm1nV4Ny8MEyZn1TVh4llo9\nVgJfLM+ApkF8RYtUolmuzKQhFsbPbUe2lbXqsdgVhXGYMv7utumrCvmczICRIctgxrkun6/CqsHs\nqw9YhQHGGRi8zns/Q11kvbzT+NwEHfzUWJR5Mm3cA/qTSW+2lTEOhQYsN9nOusXe+cc796njXXMs\nnnwC2V98j6UDyM//FuoDSuukOMCrMnTAipdLBADPycuThgLMs4GkvryJAykO0HlgRk6MbJB9V64r\nX328e1xf+DFM//4vD+6/3zi2uHKt57wwMO59B20LJiUWr70RrIclovP8OMheund/7lKwOnRcpCzw\nkY98BB/5yEfs+4vFAnW9ThCsP9761rfirW99KwCt7PO+970PL730Et773vfe+M6fsjgDqycYJw0C\nbxakUpxGsFrXNWazGeq6tvJT+Zpy+GmK9NwmAGDxxtUjf5YJgb0XXu28v/3okxag8oHv2PeZT8pC\nL5uQV7uToKIGHeDwQNUPAkaWKtAoqyjQNspwT42XuGlySqvU8VN7dEGBsOxPkY7yDs2BMYbdl52U\nkuaetob76gBPvdDbIwoBoLNUtnSfSbSrGkzojO1qT0ueWeDak63tc7yi9YosddlujwogyuJQNp6u\no36Y2uHzT2m5PhF/Ws7qe3r2tOsy/zzPA9DI09SVuKfnALJVzQvHFTVguANU/ea9qtCc1bJAvT/T\nzYgwUmYRdSaZjtHuzyygXxe8qtx+FAViebDZM5c8TnXE7/TO2fLpi2BSake0VllgSDQCxszEUAio\nHuDNerbNqnGwbZooiqiiwaUMzCEOc63wPMOV+x8Nstl0T9K9vf0zPw7GOcb/6//ZXUHbQpQFZq9e\nDvfZ8MWtxjHnmF++ivwe1wiUFJm9V9ZFUjk9XPV//U9gP/FzB37mboshsLparXrNabIsuyEagB+X\nLl3Cgw8+iG//9m+/qfWctjgDq8cYMeg7KRB4XCCV4jSB1aZpMJvNsFqtkOc5RqORBa6nIURVodnb\n8/52TVCMhZqEsdUqAYZ6PzwWeW4T9dY2eJZi73mXUe0Ig3ve7owLO/gyk9lkQoBD80yFELhmJJ6E\nV1YUmQMfGtCEA6MsnQwPaT7SoEXZ2p3nXwMAmznliWt4ImF/Wldfk5HfZAUA6aiwDVR+9LvoSLOt\ncL+JRpBkiaURzLf6rxm/zE68zYMiHZeBAH9+z9R2rAMhiFV1AyYTnbH0VQySYfC1e+HZAPgChgfr\ngd7+Y0mDDm5LJfEAD090JlfVjc2SiarqgCJeasDFZBJk7pCsGSasDiy3xx7sn6eEQOcolp8ibioT\nwsp5iapCu1wGJXdraFA6CSoCk8RTBQg4tth/6oL7LDVoGXAPuOwtXd8AdJaUhXQXxnkokG+UBnhR\nQjW12w+j1Qog0Gu1ernRdzlUXaEmqpgvPhSB1a5SHQWJ/f/tvwQAlD/zT9xnpMTcy5KScUWsRUz8\n2dXuvqUrMM5Qju/B/qvehDFPIcsC7WqlnzOF07oVuZ5wrsub3o2Z1XVj6tbW1om4V+3u7uKjH/0o\nfuEXfuFUa6ffSJyB1ROM4waBxw1SKU4DWI1BalVVwcPrdu9fX4ixfhgkkzHa2QzgPOCYDikEJGXh\nSvbnNgClkEwn2H7C8ediDiDjzHbWBoMrNc4UeQBGaB02q2a6kO0+RB3ih9E5lWVht+dLJsXZ2jgI\njPqgVKSab9ks9N/puHQAtkcUfl0M6cQeRj/WD8q+djir034OIKlCdMq3gKMC8HBdZABgVQ/yHMpk\nd4MyeFBGz2023YIzGQJuasYJ9i/P0Mad717Y7JkQQRf93jPP2//TvjAhMP6uDwefj7mVgOvcbxZL\nJKMyBFw32LXux5BIvo2yAuoVZk9dtCVzypTSPndMIIynvD2H0SQQjNnJx0EyTLFWq29nayWsGLO8\nYr/hzddeVa3SoJXK/0IE3+XVBx6z64+l5fxt+RrHs7//X/U/k0zzloKbDOrPeFrEQgRZZvo/HQuA\nXtkrOSpD2auvwegD4ScBVuu6xkc/+lF87GMfC6gFd0ucNVidYBwXCLzRxqnDxu0Eq03TYHd3F9vb\n2xBCYGNjA0VRhDqHp2TGnRhwSiA1DhY9kNNzmzrzGNEX1nX3A26A0V30vJMJstsbogPkObafeVHL\nTXn7pOVyWEfMW46GG2FiALr7gs6qUgZGpElvZ/1hTRDiyKYV0pE+P5RppKY2GvSTIvcG4eFHmL8P\nlp/rd/Ob4/bf85tBpl//9m7Zv8yQbbqsmd9ERALqFH4ZO+AzUkbPAzb2/uPcNk4NZd5on9Y1rvgN\nXYF4PRBog9r9M41Je5decPvvi9P75znKEJOpQdA85p0LKvkPBZMSPEuRTEP3KHsMptELcA1ULHPr\njwHi/OLTGpwS/9KzfQ3219BDmK/UQOCPPhuVahlZHZNZhyfp1WcqQNesr8YQhygyx82NtuerGfA8\nBy8LXH/0ApjgNusLAEw4MwaiklDTY2wwEDRKenaifRMB/xrrc3o7rrhbM6vrrFaPG6z+6I/+KL7p\nm74JP/VTP3Ws6z0tcQZWjzGO2xjgpEEqxe0Aq03TYG9vD9vb2+CcYzqddkDq7dy/g0KMR2HJf6BD\n2DaK5F0gk9xzzv69e/GSBqfkSGUHVr9LWNqBh5uBipyG1kWcKfQHq3VANQ6bWTElxl5pJ09RAHA8\nVGn1NcPt9fFUAXQ6331QuPfKG5BVHhyXLDOko7wDkrNpd2IhUmmX8xuyfAOHo4TvTMUTzTkMNG4r\nDWgIcPGi1DafJmiSE4Ndu741HNOYr3r1sWdx5dGncfkr/Z3AvsOSqMrguty79GLQiGSvPXMse1/8\nogXaqwtPGo6nu/54T5OXXdcN8s0ZuVBleZeOIIQDiIyFSgUg/mV4Hw3xYJlMXPMbNcARuJPSgtPB\n/eyxad17+BH3B+e241/vLu/QIew1lOfWfWvtNjnTk5pY3WJAlg1AMMmjH7JR5kZmjyfCOFYlQVbU\nZvBJIaEH3LJEWIB70CTlbo91YPX69evHagjw+c9/Hr/xG7+BP/mTP8EHPvABfPCDH8SnP/3pY1v/\naYiv3dz8LYgbBVknVe4filsJBtu2xWw2w3K5RJZlmE6nHXHl27l/xx2HaRIJlveONQYLvct7ygNi\npDuTty885/Fd9XLUhax5pBr8yCrvnFdJA4zXLR3oPaJLUfBdrQ4TIksh0sR2+KfjAs2y7i23y8nI\nll7jwTGbVljtzYLBOi6nt3WDbFpZQNUsVlbSijh65KjkH8/NhM+z9EEaS2S/fWmWO7F5AxjoO+VZ\nGpTSk1EFtVrZjn7KaLaLJa4+9qz+jDlP1x5/Fue+9T1aC9SoDtj9qioLgmcvhg19AcXAdKWTysHs\n4YeRfed360wd4HWyJ1YTtV3V9joWo9LyX4WhkcQi9uuoCr2x5n5YPPWk62RnXOutmn2z8leU3fRp\nAgMRT0hVY5QG2gbIZMeEoPN5n7JjQhuDdKkIMZWD55k+Vq87/NoD572mSV/lQwZVEMt3Nvc386g1\n9j6icn8ioAaaHommYKs7LMzKAkC2OUW7WPbSAAD9vTMhsK5t7G7MrK6L486sfvjDH0ZzBzuFHSbO\nwOoxxs1mVmOQehggdxzhi+6fVNwISPX379SD1XUDnmlYSaYT6wLjA5r9516yEkAUvhsV4BppSNfT\nb4Toswn1HZ7sOnLHZ5VVEQxu8hBZkO1nXw62oTc+PMBk0wr1fAlZ5WiW9ZFBYFwydRzRJByYM2m5\nrxTr6AH6ALgGHN46+q4xWWZIqgLLrd3O/+L9DDjGPqBSyp6nTgae5IFIZ9NvJFNOscG/Xmgr/kRI\nFBlEmljebx/nl+e5bVDavaCBrf/Miq85lmgL2LZpjGxZ2HikV8ocKExTqHoFnmdOYqlpwuUHQkzG\n2soVQDLdQLu/11mGp5l2ocpyDRIJNAJANcZjP/9rVs7rG/+jDwbbJQtarW7gPetMYxcjRQOhO/7f\n+MKD+vPepO3ef/fb3OfyEqCJR+SARe9pZyp3zp77s0fd+eMMX//9HwTPimCCZdUIvGBZbrOZdG9b\nyTKT1W+XteGBh88RLsLMu++QtU6fmRQe4uUQP2sCO+kxVjvD98lQnPpn+w3GOgB+Ug1Wd3OcgdUT\nDM45Vgf4UwO3D6RSnCQYPM5ju92z7+Stb0P96ivBe5Q5s8BBCDTXtzzO24CuZ1VBNWE2g7IfNluS\nDTcuAF6GiHNbNty9pAGl31gBwGZTAZNR9ZurRuVasB3sI4GOA66XdFx0wDKV3Ou5a6oiy9LDaDOq\nunG2j3DcvDiIU1rvR25iXNMsCLAPidaP7nsbZq+Ekj7pdGS/D1JFSDenqHddRlZEfvQsS7v2nzIN\nz13hQE9fx3hfWACWpp2sZHwerz96ESKTptQbqkrobUaKE/S+r8SQpbajHwDqr37Zgee4aaoHlPYB\nMBucBSXvZLoBpVrwskJrZLI48VM5A0N3/YtnnsHT/+orbhckx7N/9CC+4W98SANQ09QWi/lz77j8\n5a586aEApNJE443P3W+vuc3v/k69krIKaRqVo534Ul4vfPYx975Z96V//SD+nb/xIbTLpQXJ9nz1\n3F9bD2hagX9vW+WNKrfXJWNMH1ukzEAToLhZr7OMBfjSXo+UnSagzIRAed/XYf7K6+AyQbtYQmxM\nIcYjLC9fsc11oqoOvJ7d+bq7MqsHcVbf/e533+I9urPjDKweYxw1s3q7QSrFSYDV4zy20/AQo/Mj\nxiM3QHMWghHzfrK5iXrrul4kz9HO56ETlR+m7Nsu6y7wMiVKyqYmxsuesh5UniN/dCdZwzpZPpml\naHqkcOSo68jVF/uvXDZ6pk0H4DDObZe/zxlt6wZyVHTkjNKxMy1IpyM0s7kD5nWD7NwUbd0EQvJy\nPEIzD8GnH0mRBba3AA3g4WTROjeZjOGNBBcCyWQEtC2SyQjtfO5E/g3gsdF37UbvLZ95JrCrFFmq\nrwcZlnbt9j1qAHnUX33kYne5RAS2rbFtZ9BoY7Jzfd3ygL6GuJRhVtJcn3ZC1qpA69culqZo13x3\n64KnHnczkS6baQDV8pnQgSq+NskelGWp02P1qBk8TQM1hKtffdwCNB+o+hQYALj+uS+6BjR/+0Tn\nSKXmbjOO5/7koc466Pt4/l9/Bff9h9+hQaTfiZ+mHdpI3/dCGWP9OqQciTztUC64kTADutnuoWqE\nv1wyqtB40nt9FKWv5c7/w8b29vaxcla/FuLsqjrBGAKBfkn8doJUiuMEqyctr3WrgatSCsvlErPZ\nDEHRhkTDMeD6Q/IuQlhhdWVcYPyYv/CSXs4MfKQFGZfbKMi9yIIj79zuXXrBARLuMrV+hoU+DwBy\nXA3KTQGaL+oyZ1pTUaQyWB9REpI8bK6JB9bUdPTHQKYvCBCTA5OcTuw+L65uIclTy3f1B8Y+zuuQ\n5Woc2qY0R73bLT8f+NmyCHilPM91uZoxsDTTpX/GXMk6zYAs1++tlprjGWWJydEpGVVo5/N4k/a4\nbUOQmaDwRDgw7Gs+08SCdQETZVr9UjA32VACrxYE0vWrWgCit7wfAyR9TjT/sl2jlyymGyGvtjDu\nUH5G1JTfF89essf13J88hCRLUC9qCMntpOrSHz2Ar//r36YBPUl+DSgsdLr+/UYzU3qnRiTablBe\n9yYAJDPX1g1e/uJ5uzzAISRH2yhrlmG30XM/A4YCIASwXAbfD2OOYuG7YLFE6OzzOuMHsx498e1O\nLmhCx4Sw16Zd9wA/PTGTXl6UwPUt/d5krPnSVRnwbuO43RWzk4ozGsDxxhlYPcGIQeBpA6kUxwFW\n27bFYrHAfD6HlPLYm8JuNW/VB6mcc1S+/7jh5gEDTTOcQWxuojHZ1cOE5SjGPFPTWd8nEM49juH+\nS692GjnsOnLdJCE93Us5LnszNclkvZC073EegtbuQzmdjjrZTgo5LtEYwCmK3JYS0+nIrlfrsLrP\ni7IAu76tB9hDCPnTuoUnqxQbMpCjUudzZsBOqiJYhssEOETmiErOqqnBsN5T3QYLucgAoFarUBJq\nPOoAPpJgIh1dmqBoqTLuJkKRfi03TTh0TThrT7deAFa713IdaTlfixTQnft1DZZnln8qqiqgRoiR\n6ZonesreHsRk0gvIAQBZjvmFC678TNeZ1/Bn1y1d9z9p7LLUz6iaLO3Ac+TaA+fduaHJgJVokx1n\npw5ABeD0dTle/uITdh0UbePx0M199NJnvoK/8O9/yOxvpjO79UpPeAztYee8U3fgQp/z2NDCfl+G\nUhDIXmWaqxs2RsrwN1neekCXbF8BBPxjZowmfPDP83yY7rFmLPhaBKtnmdWjxxlYPcYYogGcVpDq\nx40CQaUU5vP5iYHUWx1KKaxWK+uYVVUVkiQBfv+XAMB6jrPEdQKzLIdadAdbm/00pUwuBFpvufra\ndVvyZYkAWmZLrW3dBFnQoQYVJgRmL77aufa4kbiKMyxcCO0AFPHVDgKpBHjtdg1o9cGOHz4YJjmb\ndllDjqpBANu73SgT5pc6GedIctPlP9DNDJiuf6/RhgZUkg7qoxAAptzeA2T7gsApz6LzJLxHbN5D\nueDCdauTJJDQkxNrUmC6qftk0FTd4PqjF8y2uJUUIxCjIq4mbSdu4DoM+CcwY3VIfS1Suv5oH4uy\nS5PpW2fVzYbPnrlkX1OjVlCi9oDqusYtkSZ4/tNfwju//0Mdvio1LdE6SLGAuL2Mc5vh54mbQHCp\npZ36KDX2mMw1Sg1vQmqQC+EsV3vVM3xprui4CITbiVyq6SZJkaNt9LOiWSxtWZ4lApwnHU5xAD4N\npWitU5ZPFRl6BmVpYEErqqpX9SL5l/8Y87/+k+AG6N+NAPWwsbW1hc3Nzdu9G3dUnIHVEwwCqltb\nW6cWpAI3lrW81SD1VmRWV6sV9vd1w0xRFJBS2geq3bK/D0liy1usrKBmM1cCja1X7SBeAIxDLZc2\n49TRK2QcXLrrZO+l183bLvPm8+XiDI8vZ2V3tSoGAclBeoizl1+zr61DTuMAoDAC681sblUF/KxO\nLKxPIccauMqJ5q36MlV2e55X/fLaln0/2xxjubVnFQJklZtGEGcksK6DPw6yKaVMUQyS0+nYcma1\n3ebBVpg8zbrNJVkORBMb4lUC0BlMpVy29IDGN+Y1JwX6uZHVLUlQkUUvgEFOrD1200ijmsZRBQw/\n2i0cgaqi6GRJmZRgaTqcPTXh26MCDqjav4XRsPUymy/+m4c97jRlFhmSXLr7xJPtYn3Zv1aBpelg\np72qm6Axz54jk0HV22Z2f3ki8PIXnzhQzk0WEm2jwAXDq599AG/7/g87u9Ys10AzasIkDVVtaZqH\nNrC28a7/utFuaQ5E2slQPCHMUgtyVdMEjXy6AWvZWYeNLAew7f4/HmmJtVID2NVqhdZc45zzYDy8\n2zKsdIx9sbOzc0YDOGKcgdVjDLrR/EwqgFOfbTzKA0IphcVigdlshiRJMB6PdebxhOMkwSplUtu2\nRVEUSNN0+Jz4TR48HExjnimrxlB7O/oPr4kjDld+1YMxmHOtmr12pdP44A+cjLmsE/OJlK2IAAAg\nAElEQVQE5KkJx5b2TIhK+6Yr85Y0GdUDQZHpMLY2jgbo+PvW112fmvX7vDg5GaE5ALjEIaYTwAOr\nAKyJgm3W2pig3vOaPwZE/kVVGG5wG2SVRJG5/TSyS+uaRZI33Qs0DZq9PQ2SyZvd5xD2mUV490s7\n2gglyIQEVqv1tqI0SUqcPWxrDoNAmj2mAYF4J/hOpeBuWd0uawBqYAfLuFc5SDUgKUoNJqU8tLoE\nAOxfeDr42/K9I0ULILxX6P1snGG1v0TbqI7FriwkXvrDL+Lr/tq3dYX9PW741ld0E1SsIQyYzPuq\nNsYcSWciuC6Ii0zAWVMKROeetvdwGilIZDlgzD/o2gy48pwhSTNjzxpyjoP7vshCYGu+szgCaS/O\nwHjilu9RD6CQb36zrhyYbfLRqKuEIQQKY0pBiZymadA0Ddq2xd7enn7OGBArhLijs7DrwHdd15BH\n1OD+Wo8zsHqMoZTC3t5eoCV6/fr1U5lN9YOA4Lqb63aB1HgfjzPqusZsNkPTNIcAqS6LikS6jEeW\nA6uVBpjVGPD1ITnTLjtJ96HUbF3XSgGLZZAJtVxH5QBMoKlKIMY4ztAyNvPll3fLAu1qpbOGPQNN\nMh71vu+HGI/A06ve/mnLVt05LgPB8INCTkZBhz/Qbz8pN6dAq7oZOiNe7mcHaR1+hjDdGOvmpB4+\nqpxODiVC39cZLc9pjlkn+9sz6HSA0XjqJjl5iVbmFtzq7XmAzOu653lPdhYIAC9PE0uzAJwebVJk\nWpjfgGdttetxDCPKwkHB/EwcVQ4YB5omND+QKdTCdP8LAZaXwGoBPhpDRXzbvpJ/Z7tCuAwmC0X2\nRep1qvcAVUBnWnlRdsAWM1WOIHtLjVPm/mq9JiZ7rihDLaSjEnjmGa995UmIVLiGNy/SKkWzcudc\nFuZ+qlu88bn78abv+audbPXsoYf1Zum7a5X9HkWhs6WBLqonbQYe8qBt1lS1nQoMKUscFCzRnNiA\nFrAmGcNH4y5wZQxCCAghsFqtwBhDlmUBiO3LwvpA9rQD2KHx9G7VlT3pOAOrxxiMMSRJgqIoLEC9\nXV3sR4l1+0YgdT6fQwhxy0FqvC/HEU3TYDabYbVaoSgKjEajw30/PmBNPUcgH9hMpsCuK4OxRLqs\nalkBc00z8AcP1TSu7OvJysxfe8OtxwekXvc3hS8h45d3/cEyKQsnwdXDFaQQk651ZAxIdRaytmYF\nfVk5ORlB1U3vABhLURGQFWPHneWldvoRkzFWl69o56s895qduiBRRJSDdHOKenuNoL/h7zak91rk\nuuy5WDpA0hO+fq7PWeZlFfCSAWjx+oFQTz4cckr97CX50Pvf7Wism29MVmzPiPvbz3vcSj/iDLvd\nRuJl9RGCZniKFqodpj30ZY/ZaAS1v6cncP4xjUZQu/r7mD/7vM4SqrZXYikIv+Tek+0OGsciBQie\nCLz2p1/Am7/n2/Xni+734dNb/Ei8jGQsnN8XVx4Ns8Q84WjrFkkuwYUDtlywgKoh/NI9mR4MxDp5\nMeKp02v/++RlYRvfAPO9CfO8CZyz9MSjXa3C9z0tabuOLNXLk0FDXkC84z60l18FH0+gVt7EMDvA\nstZkUDnnwRhDAJZ+lssl2rYNsrD+z2kea/24U/bztMQZWD3myPPQwpJzjrZt75jsquVoet3wQgiM\nRqPbBlJp/242fJCa5zmqqjrUetUf/Yr7I01dhgzQAzpTtJP6N3eZoE7GIS+DbKaWuRnOGhNnUBid\nVB+Uui5vb0AxA5kwPEjifKqVx7erqn7lgR6QOn/eSWvFAyQ1K5FoPO2HUi3keBQckxyP0K5qrUt6\nhAYrG/E5i0KOh8G3vGfDDrRD245BrgUvA+VsMZkEf7OicLxI+o6y/ow2ALC2gRLR/eSVXYO3i1ID\nNN9BSsqO9SVPuP3eKZIis9JTAaDzuMDrmpSY1+SlViud9V2XfSsqy8llVfd6AoD5cy+E2xCeJFTM\ngfUagqwdqSnfv/LZh+xylGEV0mQVjSICGVHYbUX3HwDsPuDWo6Xm9GdiPiiBaibQywsHgCsX9QRz\n475zAFoIGZb8m1WDtMp6GwJ54owBkBf6uJcLC5LjxiyRZ+FYQ1a3sdZvT/A8H9Tw1SeC2cysrQA0\nDZAkSMYT1FevdFealwduty8OSub4WVj/Mz6IbZoGy+WyNwt7u6gEZ5nV440zsHrMEZer7wirUIRU\ngFiy6TRwa27mPN6M1SsADT4DoXfzALegJAP8DMJ4ChBXFdC0AaICJAnaV18GzzMrlK61Ec2myBHL\nAxZ+IxNJCHEpHa/yEBkfUXbF+YP/9wBVu/tFpsv+mWtAId1JW3rOcyuPdNgQeQaWDQjGe6LucdgG\nIXPcQ05Ufvj82mQ8CoTND4qDGmU6y/fxVAF9HcmoK51zwGTcejOfUkujxdlEy+vkPNTbpE0lojeb\nagEI/e01cQ1yVotS74PRC2ZF4cwATElZcyvX0EFGE2A+w+z8496KQ3OCIIN8gDxY3N3fF7LMLCAT\nqcSVL3wV937vh3vWZdyZ6iZ0Rys0BYMamUgDmZFiQKa1hZ/6nS9BNQpMuPO3/fIWNt7RlSbKxrnh\nrerjIzc5xhlU0+Lq576Mc9/j7WPhJmFU6o+PXZSFnYTZDLmRa1PLpW7qVPr4eERPoeYpsoQO/xk9\nIylZkTopuHh9FKSCwUYT/WysRuEz8ibDz8L6EWdhV6sVGro/DAf2VmVhh8Dq3t5eIIV4FoeLM7B6\nwnGngFUAWC6XWCwWpwqkUtzIefQNCm4IpAJQf/z/6BeJdKLuWa6zq1y4LKtfxvSBbF50BLHtAEqD\njGo7eq2zF14OhdtNxOXRvqwY6WIKk1UTRWFASwNRhdaqYjJZawxAgJD0NK3igAEmoioOzJQmpiP4\noEimk6ARi461ub6lQZv5XzIZod7ehRyPbsiLHDDlfyGsNBUvCrSzWcjbM+YKaFuI6cRuf3CA7ivf\nFlWYiQegfGqBd60ws01b8vY4rcF2hNDX43IJUWQQQNBYJoos+E6SsrDHpJSyEyNRFBYIdzrvSd7o\nMJmyLMf2l+53fxsQYG1BrWqF2YbJjPrNTIG0WBQBOPNkrJIsgSwz7F/RE0NZdC1G/eiA8aICOHfU\nCQNan/nDh60eKhfMduzr/XQAOz43BFhVE35nSZY4Luya4CS4793Ty/MP0853zwX877D/WU3Xamdf\nfS1VopsYndy+YD0NWSyR7l7JS/t8VEO0lz7pNhyvCsBhs7DEhyXA6wPZ48jCrhurzgwBbizOwOox\nx1EtV293kK4oifqTruhp5NMc9jwel9Wr+rPfDN+QHgXA15VkXA98y7kDreVY/y1M9mm1NMA1euAL\nARjhb1/AnIK6jwN3q4EIuI+HOD4xmRzYYBWs33Mv8sHjYRt1kvEI7XKpf3vNU8lkHArde13aLMvB\n5nMwAE2PADqVvUWeoZkvdAPVfA55bhP1zq7xfO95zHnqDDzmMLatzeiqutHd/euiD4R4ndEEPtrR\nBvhqjjYrwBfmeP3rUogOOOVZ3s24FhWwWmJ26Tm3nC/g7/22q84zB4QBJ0F1gEpJx9nJaxZUTYPt\nhx7pgLD42dGZcMVOWWYZHvCAvWu5h9N6+YsPWW6qkCKgOMjSldlJNo3A5bXPfwmbf+17eo/16U8/\nFABTwIDTRrnXA+GDWNpV4qT2ykglAiLr4VynCfbu/wqqDxmTgFj+bmDywI1RCXXtB5NYauLzwCgv\nSqimDiS91Gpls+Z6Id1E1yc51gHH5jmict20xsrKNaGOJp3nXvDRNRJPxxFHycLGDV0xiL2Rbcex\nvb19BlZvIM7A6gnHaQWrsfi9EAJ5np+qbKofhzmPx679ypgr29KDl3iGjJvBP1ref+3/XVRa7P/y\na52sjM9/Y3mG5auvO/4Z4527lICI75rTMQUoC9Ol7XQx/ezgYYJPN8CuXNWlRw+QWskiK3ukXZ16\nzQE2p72ZV57ng7qbyeYmlGo7neNiVLpMaA8AJctH+/dkjGZvP3gvBq688uR28hx8YxOrF180C3Mw\nabKBTXjsdn2b92gAMTf7KoSelCjlBvCiAltqqkMrdaarLidQIoGkCYqRLAO069WQy9JQ2MlM55xU\noUmB5+YFwE2AerKqvpIFL6uwOSfLsP3AQx1ZKaU0PzaWnfJ5qcG2Yfi3/v2wZnJAmcKkyALHLmpk\nkqUGpyKixqi2heiRMpt95St49o8f0ftsgCkTDP6eBuA10Dp2dJiOvXA1fAyyCjPz6Si34Fq1SmeH\nKUvvSdQF58EYWviTV/tdmeoA87Lz3DiJxRQVlmZQy2EaDuD4zbyswoYpAPzeNwM7uqFU5RWwphHv\ntEVfFhboymrFWdhYkWCIl7rOavXMverocQZWTzhOG1iNQSqJ3+/tHd0T/VYGYwztQFbBl9U6LoMC\n9bnfindA/6bsKlEBstxysXxQAsABWy8bxYwVIszAb2VgvHKwz5uzqzLWikPe5n6QN33wXlUGAMja\nXvZ9fqxn/fXLL+sMaqRcYJfzxMJZIiES2cmY0jbFdBK43NB7tLyYbkAt5kim7iHOywp1bFlLQvWU\n1e3hLibnNj1wGYHToux1G/PDl46i8DOsJHDOJtGAk6b2ewVgy8wA0JZhQ5YNK0kmQyWAxJNFKryM\n/GQDWC6wfOEFC5b6ZLaowWjtcRpbVGakqDS/0QH+2IWIGQ1O1TTYfvCRICtMA7NtAPS79z1VgU4W\n1nck67m2A8oFY73HG3f/A3oy4zt5WV5stP2n//BBfayUce4p99OMlECpnylmHk9XSN7JzAKwALpZ\nriCrIpioypHWPRa546PTvrZZYfnsqlX62UGUDS/EZIJ2fxbwTlmauixqWYXPg+jzJLPmN931Bj3r\nEtmZGKms27iGsjrQwQw4fWYAB1EJmqZBXdeDDV3CTNqG4owGcGNxBlaPOU4rDWAIpFr3o1Oyn0PR\nt38nKauluAC4AKMBO/E6bK1LlfnNhcmk8iCbqrICbOkBo6ueFFWW91oS+oCSvNfJHzzu9I6j0zwR\n+bIDBjBU/R7eBFLdvhjQ7LkpdSSRfBFxAGJUhecgAkxiMobqa6gaCMY4WJFamkAgCu9REYaCF6Fc\nz+ByVYV21+O/Ms+9iZaZbOhj7RuAS8NNLatOqZatllBJv4tXsJxRV+htdhlN3OQH0FQFmQQ2sdRg\nxYRAu1za0riwnfzm81Em1R5fdP0QLSXOxu2cfzL8nBDG1tVk3CMrVKtBGhxrlKGOXZQOaKCK7wOR\nSogUvQCdwCLRIHb+7Rcw/s6/isd+/tcCUE/AlN4j0OhTDOLjiK1Umfc5kcngs3FmN9Zg1Z/Rxz2/\n/8tIv+O73HY9m+C+oEw2ryqbKfUtZQEDRmlymWVgbc91BjhpL8aBlVmXqTBR9pYlUjdcRRrSba4b\nh+IjU+UYrD0YuJ7WOKqsFgX1gBC9IM/zMxrADcYZWD3hWJcRvBWhlLLi9+scmu4ksBorFhy3rFb7\nhX9mX6tEuocs51BGDN3/jTQHMw/1Nq80H5E7IKvogR6DHMbARGI6rTOopkZ99ZoVdY+1TUnvMpBZ\nGhBSpw5gwAxghsZAOp2d5WOgCk+zMwKkQ9ExB6Cs6mQSbJPlmQWsYjKBWuNmZQGWMBJdPRnz2Juc\nlifQKCYTkJyYms3sRIGPRv1UBM4cWDKKCzGY6jN6GArlKQD4r9OnHwF8AMk4YJyJWFlBzfd1tjaK\n1XOX7OtkVKHZn3XMFTrmEpQVznMLIlXb2k7/oYgz0zuPPB48O6jkzzrwpBt2otNxZAvdkdYBVZ7n\nYWaQsQAEpuMSqm1tWT0dl+GEw2gQP/mPfj04BiE5mlXrmsLWcCiFZ4WcZAlWs/7zN7+2i2ziMtUH\nKhxEAL59/CF7nSnV9t/nlaYXsSx35fy+qlKrAGEmIF42mGUZ1GqpgW290r/9oKaoPqqACfW2d+pN\nZB73uxrpyVtRucbUoc+fsszqUWIoC1vXtTU7aJoG999/P37wB38Q73rXu/COd7wDm5ubePe7341v\n+ZZvwdvf/vabOv4f+7Efw+/+7u/iLW95Cx5++OHjOKxTGadb/PMOjNMEAlerFXZ2drC3t2e74bMs\n670xTjtYBRxI3d7ets1gk8nk2PVfFRdBx7YSEoox+54SEmAcbaLdYPT/3MOqLZywvfIpADJxgwFn\nTt6FuGZeCVYYbiHPUt0lLFyW7KAI/OL7wJ2vzzmegE/7+VMscqnhaWpNDlia6uORSZh5O+RDN9Yp\nBdAZKNuZ45tauSpz/JY3ewhaRF/w0pMEMjIytP3AjcnQDg4VfrezAaUq70rUNKn5DpWXqadtJH6T\n0YDqANfWt7bMfoj9W7cM79uOaa6xUVbYffRxkyXlVrc1bpbSPxIiS/X/pdTXbw8XnqdpAEx5nvcC\nVZ7l+sd8L9e+9MCBnfXJgM0sALx8vxPu54J5JX39m8BokgkkmYCQHNkohZAa1MZOWSJNnBRVIZFk\n4blOisw2egG69M8TYa1w5agK9JNp4sGlDEwbtAZsCl4W4EUZPC8AzT8FaEKS6O+QTBdGIzrgzvkY\nus7Whp9dZCwEqgDq6Zs6H1EDBht3W1hKDOdI0xR5nuO7vuu78Nxzz+GXfumXcN9992E+n+OTn/wk\nPvCBD+Dee+/F937v9+Lnfu7nbmh7H//4x/EHf/AHx3kIpzLOMqsnHFQCuJVxJK97E7c7A7wulFKW\nJzSbzToUhuOM5sv/wm1X6KyqYp5Ye0wBoKaYrARbLe3fbV6BLedQSQq0DfhrL7qNRA0ua3lixF89\nJGDiZciJ012/poGoGoU0g/F6NQDix7arFZhIrcakbzBg1zUgeyM2N23pkQBqG2Vp+HgCtViAZWZA\n71kP8SsBfS54WaDxZKvEqLKg+SDLSB9cc+Lu+tlFOn+c6/J5X5ZtNBnOGMVdx4YCUFdTiCWpAAhX\nQiWtUsZ1I5+vJABY4Fs/czFY3lJ4THNVHyVCVCWUEYrvcD2L0p5TXpRuokHL1auQb+25qAEI6A4H\nZQ2D7fYB0h45MJbnHX4mRX7PFLPLms8sqxyrvbkxQNCcVp4maOaefJfR4n3lzy+4bQoW/AZioJqg\nXgw3DMWgte9/SdFP/yArXLtd4wTHvXJ/sz+DKDVvFYwd6rr2y/zUDMXKAU1Psor2/7ZSVAWwWIT/\nA3oz/d0dMd+ZuXbacgJWD1Nx7uTM6lGiKAp84AMfwKc+9Sl87GMfw3d/93cDAF577TU8/PDD2N7e\nPmAN/UFA+G6PM7B6wnErM5a+132e54NZ1L44rZlVH3hzzjGZTE5WyFkIMA8sKZkCTQPFmQYnQguj\nQ2iNVeXJWalYssdkMfi11/Ub1GgiTfNDpu1bfXcinmmrT9L4tKLtbRs0QARyS9T1GwUnGRrOqLp8\n6Gh3tuzrWDKLSxkMnkMi+HwyPXJXu9sBZRs/iCbQcTcyzlk87+qb8o1NtMZlR3dGe/JgBwXnermm\n0ec1Bs+RjmQ7vQd855r5rIDKC7D5DKoYzqrKlz1bTs6wuHhJ71+s8MCd53zvfnIGZQ6dSekcp6Ts\nqjAkSef7WDsJkpmdzOw/+KDR2lW2G55LCaXaAKgKP+Mb7785Nl+Kqi8zzgZ0bO02TBazeNMG5le2\nzHa7WTsCinKkG4xe/YoG+0mWoFm1SDJd+m/rBiJNwFuFJBODZX0fnMZAlf5WrVYkqOcRV5xrTiuB\nUorUWBL7wY3ZgGoaR2ehKkfTGHtmrzpSVlY5g3mUHZaXIXUgL3U5P8uty5g+QWko2E/Xd1mFy2U5\nMNsDEon2re8Ev/IKAKDNSjCzzSbT1zxfdWkDHce2uzjWAfCYs/qWt7wF3/d933erdu2OjTMawDHH\n7aAB1HWNnZ0d7O7uQkqJ6XSKPM+PDOpOE1ilYyIKw8iUsU4SqNZf+T0AgEoSqCRxANAMutZGlTEN\nTKmkxoUphbnslGIMKs1NU4cKXawAN4h4YKF+QzdgWa1MD1j5fNCOLughgkfd/2xyAME/BjVZaoEQ\nAT5eVQH4Y0VhS+p8HNmRJrKTleFeNz3LMiAdoC+YsnOfN/yQQD8A8HP3dN/0v9P4X0WhlQLi/zHW\nXyoH0E7MNohbSAA1cqpqPGqIXtBcE4xjcTH0k/elyIJyN2fuh7mmJd1s5pfjh40jeFmBmR8AB2fK\nZIrZE095jlkmG+mBYkCD1Jg3e1D0dv8X/cLxKAogL7F7/kmIwn0X3DT/9UVfAxMQnVN0Za4ALzOa\nJWszqCLV/yepKrJ3jW1eez8b7Xd8/qyuqp/NjuW/zPdov+ODuNR0j9H1HP+OJ1h54f7Xt34PgBJQ\nBRww9WlQrezPMt+NmdWDwOrm5uYt3qM7P87A6gnHSYJVAnQ7Ozs3BVKB05NZ7TsmyhCf5P6tHvxD\nqMiXnR60/u+An8p7+KoEUE3wK6+6FXJPe9XnjslMDwJeSd41wehMltO7PBio8rIKBn1WVmFmbtwj\no0QD+Hiqf7ywfEMhLFet083t/R0DYwCuwxj9zVxBTKaR1I7X0BMNlh3gbvi0ffsFIBx4Rz3noUe3\nkqWZbkKKG5G877AtRh2A2hdxR/Ty0rMhZ5IAeUITI+6yavD4xpzp4/SBaB6CAfqb+9aOfaXkgwAr\n7R/jYIxbgEp81cOCVJ6mmpea593uf8NL7USWa6AK9FJWYkCaTkeBjmligO3rDz0bduZLzbkNm6WE\n+W2Aqgc449dJLntBrt0vQy3w+apyPADE4SajiXd/M85C2o7J+POi0BOOkTcB8s9d1SNLR9dm39hg\nS/z5MC2o77vx7kUfqAKaQtV6fO260hNT9thnwuVOwZhzq+NMuurG4msnL3+LYiizepyzx6ZpMJvN\nsFqtkOc5RqPRTa/7ds9sDzqmW7V/1ARAoIJK+YoLKMa15iHxVBnTnFYu9PKMQXGBJi3A6yWEKZMF\n+pueVmEMHGznb9OACZ1BPHRzj1IAY2BDVocUEW/VxngjlFxiTGcaVytAKaMDqrmPaBrNj2saXXo2\nTRxDYe1Be7rO2WQDmIXC/ZjPXGMI42BGG5VXI81tpeYqn3tqtE+DaJX2Jp9FGsJ5EZY3AesKBQA8\nzWz3NU8zU3bV1Ads3APs7Qweq910qgd3ppRTAGAcdZqDmfO/fPqiOw+moUkpFchz2d+m7K5XHstA\neWX4KhLvDxrkBuSzSPvXqxzQ/s4feVjruZKkk+my50aLVuRZ2G1PmW7T3AOgqxIRRR9IZQPWnGSJ\nGkdSZFY6i/6m8vobjzk+HzN2rcqbNMhCGv3UFkkusdrv51fG2dK0SrHcC5eVRdqV6eIs4K5mG+PA\nHpfMLMhUg3Gmz6Py+OokpbZOlcOfyB2m5J7ma52lDhtt2n3mtMy4tuWVk/9bE7d7/DnuWOfKtb+/\nbyuFx7m9ux34n4HVEwg/C3icN2EM6KqqOrb1367MatM0mM/nWC6Xa4/pJPdv+fAf2yxZAFINAPR/\nt6bpCoxh8a9+x63EcPPkf/ARAIC49rpeJwHA1HBbOXfggAb5NEX72iveutxAb48/ER3OIS88Thrr\n562irIazJYwBChqoRkGAzW/KCTKs9F6WO4ODIWDd1+AxmYYNHJMN7QI12QC2rgFpqj3sCXhF62aJ\nHJRc6jSUjDdcZomA63hqmpkKPbCTNmVRAEsn5dMb1RhYzNGOwvPWpoVuJPG+uyavwCJXn/zVi1hd\nejbIwNuyP2VR6RqgrKZM9PJmgqBWq8ABKpDgSpLuRChNu6YFBBJV2wtUF+cfCdyaAMOnNI5rTt6L\nr5WbGjQuGMikDj3R5k8+FR4TZ70UgBgcc8EsZTvJJZpl4zRo0wSykB3QeZRyPlEAYteqIUUC1Sok\nVbFWMxmqdVWEgSaztZEX2u65NFnW1cJdF3np9IKj70AVlZ5gMRYanEDz95lSgEx1tckHx6pFnXoK\nGwMNVW2SBt/v3UgBANYf13Hby/7QD/0QPvOZz+DKlSt45zvfiZ/92Z/Fxz/+8WNb/2mJM7B6C4KA\n1o3elCcJUuN9vFXRti1msxmWy6WV1TrMDXyzD7dX/97fBAA7eG7++H9us6esbbQCQLPS2VMqw/m/\nASw+7RQDbNnW/K/+w38JlgjI979fDzKJdF3jVDamwUd4AFQIoG40SGm5FoYf6P4d5PURqKYoqjCL\nSgDNjx6gqlfl28FG7kp5CawWoW3nOnDnA/MYpAJAfDxEifDBmp9lLEbAbOa4s6aRjE03D9R0RJoN\na0bmBbC77SYAidTANU2D89rKHHzITc1cP2vDs9AMrmeuv/c4Ux1MAgzg6DSbpWlIxTAZ1o5CAJkX\nEDdxdbBhAjVIEXCNw7f0PSiGuL8AdLl/aD2DmVbTcb40x9lq4E2gn+5zWUjUixpCCmNp2kKkAm3t\nzvNhAGpaZVjuuetHFnpZWWZgnHUaqzRQF0iqAs1iCTkug3MoPOoGz7SLFVkl6wW8xkDK8MeTT9uw\nadZF93zMP40Bph89klYqK2CVKvomvCKBMjxUH6gqxtF6MlVNMQZMBeprJYbGqZMYY3/zN3/z2Nd5\nGuMMrN6CuFEgGGcdy7I81hmZH7cKrLZti/l8jsVigTRNDw1S6cbvewhc+pH/2L5+16/9CwzFq3/v\nb4aZQs6w9au/DCY4xj/yo/phyrjJqrY6g8qF+1spLH//n4GccGynM63PAxCLx86DCYH0vd9EB6CB\nkm/VGunDssx0oJPVI4GPGwHnlF2kQa+n/K9GE1uSBuCO61rotEVlf1JAsJGX+u/xRJfV87JbXl8n\n8TQUsTWkEK70fcyaukGkOZDM3ADNuM5G0jkcmiRE0ZQT8LmjHrRpaEW5evqCPdeBBalfsjeKCzbo\nf2Ziw0QCtdSUCJbIwN/dbzoj6bKA6+uDGDqf0cRo8dh5C1ABzyBCJlBKQZgye2+TFPEumS65X/78\nA/pPm6Uljq7O5N77nX/F8VI5CwGruY6XTzymPyME0nMTLN64qne/yFDPFkiqwtiMZHIAACAASURB\nVJbR7SnLUrzx8EW7bf9eLTbLAHQmuQwk3/yIAWpaZbbrf7kbXu9J3pUI8xvCgvPUlxXuU0eg756u\nRR/0jUh+br2FcB8tQOWFlttTyk26iaI0FD287FVaWTUAipYnaIoxuDdxa2QB3kZg/i7NrB4UX4vH\nfLNx1mB1AtHHWz2KhmnTNNjb28P29jYYY5hOpyiK4sSAKu3jSfJelFKYzWbY2tqCUgqTyQRVVR3p\nmPpu8Of+zkeCQei5v/ORzjKv/dTfwms/9bcCf3DiCILpAXT3138VinkuJEwbA7Sm6UoxoYEqqPwo\n7WDji+fHIvKrC0/qB7xvzaoPRv9OJNT1a/5BmiahkF9IwJVXEdcpzkSV1XpQRXzbgYyqXcz3//YB\nojEF6MvEANCgeDTpbdTqNDT1NTjNZzrDSefLz8T5A25cdh7SkqTwATOd2wjA+Q0hkKk+bj+DuW6A\nMeeDuKptVuqMkollsYFFPg0yTkFnN0mX9Yjn07XAhDZgsGYS3rJ2mYM4y0OR5UCmO+6XTz4RqRDw\nQNh/qOTPyyJoALzypYdw+fMPgCfCckUDK1ZzPq988QFc/bMvhCsrq/A7NcBeTowqiKFJ+PeaHJWQ\nk5FtUrr2xCXbBKVdqsIGKsBlRvsirTKkVRa8ttatNxDJaPgaFePwvuZFEZh76IUM9zvLzX3es75E\n9gJKZa6PNjKpUGmuvwf6QT8HtS/UQHc/xby6175e5fpe9zOwd3MMgfCmaQK3q7M4fJxlVm9BcM4P\nBQJvtDR+HHFSMz2lFObzOebzOaSUmEwmN3yzrsv++tmal/7uf2Icdngny9H1LXfHPfunvwrGGbL/\n7ONgqkXLBJhqUf/+b9tl4zIorYcnIuCWad6h/rt+9iKSd31DCPASaTitpvRPDUzGdlW/NiL3ppTb\n5wKEsoKV1gL6m6fKcZDZU6MN+7diLMyuAnp9UpfAOwCNhMOrsWsU898/TIynmk8XhRpPwYhTmmV6\n/cxodBaGG+ufg/GGXk8Pp09NtaQU27ne/V9egZnMp6qm9jUAV1Kl89k2jmPsRZu5CUE9vgdQba+2\nJFMt/LOb/dk/ByjDaLipeoVGt7RuND+VStgEYtOsSwshC9qBsFlxKv0PZcy895cPPeA+b9QJrIRS\nFDzPLV3BB6lX7380XAfM/eA1j9l1JO4+vPbZL4InAtPv/feCZVYXnrRybhTZm+7F0mRXRZZ2sqKd\nrnpve61pvEqybrOWLIyrVJlhtb/ovI4jBq9JkaFZrOzrvkimY6BVlmcsphMNxuNMK+msAgdLUnmT\nOiVTMDh6h25yWoS2v1kJtLVufvJpSW0L1tTa5MTco+ROxZoGq3ICuXMVrZDgmGH/3vtsVnUpNRBN\n6rluNOUynJz1xN2aWR06rlhj9SwOH2dg9QTiqFqrtxOk+nGz3Fo/lFJYLBaYzWZIkgTj8fimbVHj\n8/jiT/ygfU1ZkyEbRp4IzR/rAco68+Oyrsvf/jVwKs9GpX5ri0h6kz2dzn5nN+msNi9cgrjPA6x+\n2cwMmExKzb0USdD5a7vf81JzTjkb5PB1YjQJQGRbTbrg1ATJyyT7u3r/styJiLdNCArj61OmQDPD\nUKjxVJcY40hzqDQHW+x3/+cPooDOdFKGNB68/Wt23cBO+o95ZbfZFiNwHzynmjtogb9MO5OAphhB\nzHZxUKzySVgipQ55P2ErBJj0RPL7qjCcAYoFnMUYvDorX9GdtND/fA/zojJl4BbLx8+bzzozArSt\nMwIw3f+Q2smM57kGiE1IO7j21cfABIdqvMkR0R0E12YCvmaw95rus+3Pfg6MMRRv61p2ds7JQGw/\n4xzj0lGB1f5iUHdVUwAUkiLDau+AcrqJvgwrSXiJLKQC9D6TqOPffyt3lBuaoPI0C6sIh3yGqqwc\n5Ii2WRE+A4z8HlMqlOGjLKxq0cocoglVNRYbb7OvCagCQJ3kEF65/2uJqwqs56Vev34dkx6r6bM4\nOM7A6i2IIbB6o/zNk4rj4K0qpbBcLjGbzSCEOBaQGq/fDwKplDGhAckfFG0ns3SZFL88SGHBKWO2\nMcIPv2FDta2V7wFgJJw8nUzOdNcrNQm1Cu2Ll8De9Y16oCAO5u62baZijEPxtuMY1QHYcePUUPSV\nCQeCgKo5OPeaSu8+UC0ql3H0Jany4qakcOLuY6JEBMdKwHEoixsBVTU5B7bvpKbacgy2WkKJBKqc\ngMUNZ/aDZpvRNVCPNsEXGpSrJEGTu1J/k5YQyy7oDvR7iZNJZWwziQLgmmk8Ry4rz6X6J1osy9Zf\nC/G9lxUakPAEqwe+5O2X5zpF6zbXNzMWoCRXxnO3TV4U/ds3fFUAYIIbuai2F6j6Xf36PjCNjJev\nInvzvRiyX6PP80zbSfc1JPqT0PjeBw7X7U9BAFWW2SC/1d8mhSgLNPv6mhHjkXOVOyA6jZQkNRVn\n+Ysx+GxHl/SBQfUPNZDlpOthrSxWsHx4TflAlaLheltNWlme6jKbIGnCycDdmlkF+quVZ5nVG48z\nsHoLIgaBpw2kUtwMWPVBKuccVVVB9pWtb3L/KF7+L/5T+1oY7UV/EOIJDZQiyGwMCXnTgEnHz40o\nu59J5SbLBMATRk+HqQmmi96XIFIvPAv2F96FNs3BmhUYdS/rnQCD6ZxPEifx0jbaOCA8GcMghTEr\nQeOW1R7dfQNZPdq060quvgrbYARosEPZvHh7BOQOKFG2k3vAag1E29EG+FLLPhHoC4IG3NUSSJNQ\nvYDAsZ+hTY1uLVlIFlVHV7XZuBdi75C+23QslFkV7vs4TLQyA6+Xvdmk8rO/A5gJiR+Mmqno/FJD\nlA9oZKblhwB7rEymjq4B2Ozy3vnH3ef8yZO5Di1gZFGDoD/ZouteOEAYAzSbXTWx9ciTAOA1UbHO\n5NHePwNZTpGlwaRzdW0L6b3nemXKiCse33+7L7wGICzJk9NVu6rR1g2SXG9nHej0s6cHcVX7Sv6+\nBawYj9DOw8kYz9IO8GSZ1lcNgCrjrtM/zfQEMppkqQMMKYaAauvp/h4mA9qK8DhXSZffqsDQcoGW\nCcStZaukQOIB1LsRrK47pq2tLWxsrO8XOIv+OAOrJxBDNIAYpN4Mf/Mk4kbAqlIKq9UKM+NNXZYl\nJGUZT3D/RJqAJxzNsrZAlbho2ofbdPcqBRjYZ9+DB1opk0rrJT1LmJK/37kM18GrvdF7uvkBmxXT\novldYX/12kvA13293T7J7QDQwDSNSsE+GCyrwayiKoeFpjVQjUrZVc9DkzKmskc4H9BNODS4leOQ\n70nSON7n2vHmIKhus8IC1na0Ae5lQK29bduaLujaDdAyBbh3DqipyDj3qKpbZqvH5wDGhvUfqeTp\ny2wxZoCqBuuqqCD2rkMl64HLstgAUy1EE22LrqXWZdvjYGv0SiEz/bnGTF4iwBKAVKAXqLIYjJrl\nYiMCADaj6mfceJ5reoABVYxzqKaxQBVwlJvAMcrcn0kurVwUH5g48lQGIHp1fQvpW96Eds9caxHv\nnCKZTqDaFqp9xRy3dqligmtZOFrO0z+VVYGVJ9Avq/xwVQvzWb09M9HLZW/22253PEIbS4kdFETf\naBogcQmNthh5lCK3vyrRxxZXDAjMKp6AL/b1vTfT95vNlBod307mVpqmQTNhVomEEgnaCNwuEg2w\nk9boLhOXNR2Be1rDe3t7YIzZXg5qQGaM3RXAdd0YepZZvfE4A6u3KFarFRaLxU03GZ1kHBWsEkhV\nSqEoihMDqX37R6CTJ8IOijQIaY4ct+VH5g3SACDyLi+QRxnYmGcWA1PucQvj7mjKilHpUy/kCa63\nCvzV5x0I9aSwOlzQdeGD0zWfa0kY3AO5dbXRkZvR6/GaiUTYNDakAKCywjZjABrEahmwg6+FZqzL\n6h3OKg8zezjk+g4TSvbzQq3clGod/YCWk5mmD8gUTaHPOw3iB8UiG0MxjsJcD1T6Z9KZPDCRhCCM\nMql0bfXpj1LlIk2x9/CjwTXA44ydV3J3yhQ8LPvHQJXW5TuG9Twfdh6/aGk47n4buFaoFJ/JjnGK\nzn5KtFE1AgBWb1yFiLKXYjxCs7MLnmdQCw2Qdi8+F9539hgSDZhX/bSPoWYoQANY4rLSa1m5jGI6\nLrHc6dI/hHkeNfuzTrd/HHw8gYr1h+0GvOt1KPvJk8Hyf5sVgfZvm1fg8z2dbU2ke/YA9n5rZO4B\n34MBNgFVAFjxDELVaFg/vKiqyiZvlsul7dkgsXz6EUKAR9fonRJD+3z9+vWzzOoNxhlYPYHwSxzz\n+dyWxk8rSKU4LFit6xr7+/to2xZFUSBN01vyQOnbP9Fjv9iX3VBtawePtWFkelTTaEBKepv++n3J\noCxdK4ium2cMHYC6u20HuDdI0G+Zuuym70plnGPsgHRIPmpTjDoNVXU1Hc4e+aLjpHFKmTyvFNvS\neqlhKc2tqcLgvow3wVZLK+/UCQLtMB3N9SroRFIydU1avqTVTfBk63ICQRkmmWnQTN83QwfU+sfX\nJDm40hOAeXEPsvl1NEn/sU3+7T/XPM6oK97q1/ZdQ/4xZpkzU8iNaLxpNtt/9HygYRrfDzaDSWV/\nr4nKTsp8JQsPqFLDF5OuKkHarQA6UllxVrWtm4CmQ41Mrfm88Lr8aV+4TCxlwAedYnMTzfUtsyEj\n8UZA2qyHcYYkl1acn4mIP5pJ2/xFADUpMqhWIR3lVjfVB6hxyCpf7z4FICm0UoLo0U0VG1OdsTYV\nCD7ZAJpau6dRd37ThCYJWd5r0Uzh80hVItGQWoWxhO4N0pC2WtLDx9TIEkmjqTR+h78PUoPlDVDV\nWdWV+W2uGZNB5ZyjMRzl1NCp2rZF27ZomgZ1XduMax+APa0gdh0NYGdnB+9617tu7Q7dJXEGVk8g\nSFOU5JrKssRqtTrVQBU4GKzWdY3ZbIamaZDnObIsuy0PjMv/7ce8wcxlagAEXcg8Ebrc35N19IW6\nqUzaegNB3yATS0fZsr8p6fr2k2BMSyDRsuRAY0qrGrQSKDIAdkiGSIhgXajGvZlBskmkoAzgoaKP\nAxvJ5igDTFSSDWZxgC73LR4sqREkyMYKaSWebCaHO4MG/XcCJfVxtklqS/rUYOKva102qMkqC1AB\nWD3UZH9bA2LeOF4s57apK+YFtkkKvnIl5Fimp05y1MTp84A4TUAs0GIcyjQR2W7/pgZ4BPxJ95Wu\nU6MOQY5XFuwREE5Ep0IwFB3ZJH//Uvd9cw9AsbzAzkO+TJWWi1Ot26ZtgjITwKTILF2n7x6Lw2Z1\nOcPq9cu6uWvNchRJmaGZL3szvLLKDV9VISkzrHaHVSxklQe/14Uocke58N+v3MRSeJ3gbJ1jVzUa\nNNNQB8lY2Q2470EJaa5XM+FJ5JG79FuZoUlSiOXewcsygbZHxr0W4XfuW48yxiCEgBDC9juQ9jcB\n2NVqhbZtgywsAdjTkoU946yeTJyB1RMImhVSJ3xd11gMlXhOWfSBVd/utSgKjEaj2/JQCLilWYpm\nsezy1gqyPRy2kRwaJCmj03r8NufVHj54dWNVPw3AfpayZo0HRAADOhJXbgZgvdnb1tEDiDMJ6Ezq\nETKILQnSR6CyqTYGgaYwZfA2rzSXlPZtjX5qm5UWGLZp4bhyfkbYbHcIQCqZhsfGuGlE0sCXNcPA\n2O5HXoHXS51JrmsoIVFXU8idq73LN8UYLU/Aa3dfKi7AiFtnHaNanXH1gHUjS4iVkb1iAot8CqYU\nVrKCXHUH8vGXf0+/sNqtbc/Ex+vqz8vwnJNkmXUycpaxs4cf1pQTCNvMx6LmJQs6fW1h38o2rhxY\nBQKtAECTK+5VJjTQMtc/qVkkInivXdW6YcrwNP37jrKZdn0er5aCZylU3WgKjrk3Ej+7Cg2yWaq1\ncXefed69b9QItBxVCEZ1E1c/QE1HLmu6DqDKcYmVV/qfvPs+LK9eC5YReW7vNWHsbwE4NQiZdkv/\nWR4C2OjZotK8e0+b6gBVLAYzqSbsJE94LmnWVlV1Jq6NDLOnSiTaNCXmrDIzmQWDNDqvxTveg9kL\nms88S8f91KM14WdhfVUZH8D6IPa0Z2HPOKs3Hmdg9QRC/v/svfuvddtZHvaMy7yttfb+vnOOAxjb\nggI2JlzcpsZJAdVBAQdUm9ptleA2tGqpBAr8gohU+gfwA1J/QUFVJaJWolXtiqRASsstaUoDFTkk\nxgaMMRgbXw72gWN89v72Xpc5x6U/jPGO25xzrbW/fTnf+bxfaWvtdZtzzLnm5RnP+7zPW1U4OYmW\nNnfVyvS6UY4zBalt22K5XL6iJz2NL1jeFEC1WjSheCP9nyLVpe1L41F3qil9WwlMqeBk77hTJiQF\nBilzSTcIWXlPUw8oJM9uTnZxMnsz0t1qnp2FS/+nkgDLeCyCWDyDbn0eDMAhRGgYEG6Q1ngzcQOi\nQU3dgvfYqycdTp4NN0hb1TBVCz5soZcPwYftONUua2dMTjfDxPopZWCNrLPtTZlk53BgRjfUOZNy\n1awCWJ8KW7eZDre8gYflyBZC9+O0qv99WdFgIIBBIC9sqes4gZmKusH2Qx/M9Jm8cgU+lKIftfNM\nZScTEVwJ0rHticuPxKIqcs6wjAXlBq2fKvwBeBlAbCYwkgF40EQuG6k2nEkB9YUvZN3i0rOYlqU3\nefpe1BK6VxBtDa7G5851ulKRdnX30l9CLjpoMvr3YHxuInul8Kl6ClvHa45aON9kc6CblPIWUrpe\ngG/OXAYmzVqE7IV/jTGoqoPMMge+wIqNGVkCqhQDanz5lxxmEB/XDSBlYdNlWWuhtYYx5hVjYfdt\n0/n5+T2z+phxD1bvIF5NYJU0Q09Ck4K58aVBqf4UfJJ2j9cyFE6VbBPgwSuZtPPcp5E0q3QDnWwm\n0I6Zl2A5w1lkUvzzoDnz5v+ZJpU0Z8Ss6pThm7eIMouTLPU/pbEFANVOSwL6xTPxqyIxnCfdNb3G\n+Gi5uluNHQbaZW6wf0S4tKZn/3z63VKhlxpyX0ejc2/XA6FWz0BsY8pftacQahva6I7GIqpc43vg\nCmnkGIxoUUOYAVrGNqlu4YVlVQlkyoK2NALbzkfp4dDGlLpdTTQW4HUNFOwlS4v+RpkDD0zIR7hp\n4nqT9DWvK5h++rcoixqt0pDLDpZS8AW7Gr6X2sJRVqKSgW0Wzz4Hc+Y6k9E+3LzwuWTwfj/IfP1l\nyGuAVCBqV6uTOHFJO2eVwU9ORxZcbF+b4G4ZbNksFw6k+n1gqmYSoJoJN4DRhC05Zo2owY2C4RIM\nFhYMzGoYXoGrHqrqwAtngUerL8Nq/RKAMUidil21gDAzfsY3GCkLm0YKYKdY2BLAXhfE3ssAbifu\nweotxFU7WD1JoZTC2dnZEwVS00j3Y7VooPvxRbBattC7eRkA4G8qJXigYqgJexlrTZYuZYkxuns+\nBq6M2LGsLz0xZoja1hSgELMqq5ia8yDXNJ0rYmIMdpEw94VWtQzVTfurDt18OsrKJjC4xHSauglA\nTnfzKT3dOZYyNBpIPjd0D8eWTmkkXp+WxapyKwQY2UghFltZKcFUemOWsIUl0tA9dNXNYJBJ2p9h\n5pzUepYp1t7iqq9XkHo76TMJALtqBWn6/Hfxv+fIQ7Vp8+5ciQQBXveXFZdxgd3vftAXa5kM8GVe\nwcRaJseXtcZ5+c4EgdQ0WJO85ou+Ln//w/E7qX9qnRQfkhacZACJTnzq/Jsdk2/rSvvNPDof2Stl\n42XO31Unk89q0WFYR5ZQds2Vr8kESq2xqFYLDOf7O5iJroGdYHIn49SfK5tLV0xHY0+B5p4MTgpc\nDa8AXkEoN2kcmhNwL8Eh2YsVFbSowawJjxRTzKmSTXbuGC7wl93rJscy2AoWM+dPocO+C59Vxtio\nMU1azDXFwqYA9iZZ2Htm9fHjHqzeUkwB1CfVAJn8X7fbLTjnTyRIBfwk4B/+NxmTSv8Ti0I6M9cv\nfMy2iglQWQZv6sCmjpiQiQIP3i0CA1WCWlfFn/hjjjYqlQVQ1XYCYIlRe8ziPNWeToKyfvHMQf2Y\n5cKBQa0zdlO3eQcttXzg0vzpa4ux1+mUU4DTiSbtYOvWmeoHZjdJ88kKzGgYWYPpISt4Mu0y087u\nCy3boE0dWjdOZk0OCCkILFf1wT7ngDM9t4yFyucHv/vPnaTCGtcFqmTHS40i4H7/uh0XmPljwkrp\n7K+Udp3TAMAUoLUdaxv3BavrkXYVgPNTJZBEncsQNeNuZRyicttIY8gacXRt5i8qCkZV0DnlPVvT\nayRvm7ybWyhUJPa1weZPP5m5IcSirmrk5bqvqEsuOyivbyVgKldLqIvL0f9l8LoOsiGerIO37bgt\n7qmfJJY+xiQDAuK+Lor6dLs8qEkF3Hk1NCeZ/lTVS1Sbs8i+WgMtG3A9jI5tZjSGZgWheyifIdCy\nhuY1zIReFQB6O79vBy8hULjZRjGPG1MyAmA/CzsFYKfu52nRWBl936O+CWnIF2Hcg9U7CDqonzSw\nStZapWvBkwhUgchYZzdKOJbEDENIMVKIxqU+0449UyEWHcx2OnXN2zZj+7L3muN8NuNAE00gVZkT\nW0jgTFaA9Zq8tOtZmrrr5nWrFKqZdwLou/HMvr78S4AxmHrh0vhFkQWBRn0ACB4b/eKZoIejbRsV\nfhSaTwKqaZiqBRNHsldHhK1qYNiGmzFTA9iwy4DxUMe0r+ZV6INestu99OlyIcA0MCI00+On0LLO\njo1xDB/8bTe2RNrisgKuCGlKJ8kTQAiW+A4XRU3Z2FKwm4x1+9E/ckP2xVOj6ncP1jKA6kFbqaMV\nxeSPV3LyPHUyhiSz8eAZ2AtnpcSlAKQI14QUdJbjKpnOatFhuLiE9NpTubza8Z1KAATJivZMEtgq\nmcR1Xv+dTALm4qqV+7PLCcVR0dQ/XTZNHg+t7+XFlwXd+s56uUsyKVa2kB4wgR1aiKJ17pN2T7wq\nC1sC2LTRQRn0+pO0va+muAerdxRPkhTAWovdbofNZpM1KRiGAX2/P33+Ssbm0x8Fp24xXQM9qHDz\nKa1rgMMpz9RShi+6cNNN2VTXYGBGr1r6u7ZRrxq9Oj3QVdGOKdNcysr7bJqRJc0UE0npdyp+KkO1\nY0YzjV37YJJpZdaEVKJpOvB+68CR9eOauQGr9hRc+1aqdTdf8e+ZHl68n+lkuXBFXzCwjAMM4cbp\nxue7JhkNI5uskh9w6X5mzXx6P4m+OYFlArKoCg9esTQm/9sbOTbEVyICuIvmGTBYNKowh0/a9bpH\nep42W0huXrIarQcAbLPIHAkAX2Doi6ZIEuB8en1KPs0iUJX3oZiagBGookUZEzthJcCyPAdFU4MJ\nMWvEf6g4key0WKHBzdwNMoa2hfGAlUkREtElmyq6Bupyg8rrS6vVMuvStY9BTUOulrPnRdAjGztt\ntzVHCDTdCLiOJ2hRogPGsWtWkGoXJktTE1liSSm0rMPniFW1YOBWQ4s6+Af3lbtGSrWF5vk4CKSW\n0ZsKb3xt/OyOdyOQSvGkgdWpmGNhUwCbsrBABLicc1xeXuLk5CRs55O+vU9qPJkU2lMQT6JulZjU\ns7MzDMOAk5MTrFarcBI+CWOcirM/+T2c/cnvTb43ldaTy26yoCr73r5CiLYFX3STjBNv28nCqgBU\n56Juc+asqvMK3zTdLapQAX8Mo6K6U+j25CBQ7Zv598s0oPU+jJbGISroZr4YZKrQ6FCYousOLSNd\nFnXRyQGkG6tuo273JsLIOk+7A+53KIqx+hmd6t5gHLPdh+jYIanFTJ93Kyqo3/vAbEvPVGLA93mY\nFuc4q2qX7p9KTxam//3HP55X8EsB3tSzrVOByJ6mLGrZjQpABupoG9NzjdW1KyaTFXB5AcgKuxf+\nrFhIIj9Ivkv7g9ZbMqhydVyTDQCoVuNzPR0n/c/qetK/Ni5o/zljupPsuhCM/hHdKHYT57Sqpo9P\nrhXAOLRsgla1vL6QptQkutVetCNttrXTgGtnprdJe9LAgOPTLz6a/MyrLchOq65rtG2LxWIRHHOE\nEKEV+Xvf+1581Vd9Fd75znfi/PwcP/MzP4MPfehD1yaGfvmXfxlvfvOb8aY3vQk/8RM/cUNb9eTG\nPVi9o5iqZL+rICb17OwMfd9juVwGD9hyjE8aWE1Bqvzffzp7r2wpCQDVqUt/i7adrMwVi24vUE2D\n1TV424LVDXjTzqf9u4nlTTEusnKgNf1YccMiIGareCMxTQdwEczrKVR36oqnjohdu1/UX+pX05tY\nAHFFDAk4Vv7mqerl5Gd3XXQd2LUP/Doda6plG5nowDxGux7SyxpRx/2TyiKqFqoeg43N4jWj15Rs\nMBQ3813t9yvjYGpw9lj+Lw0raxhRY7Fx3q1bzzpd1nHfbuUSitdY16d47kO/6n5zYs+vEKZZwLRL\nmKaD8UVdmeUVuVxU1QgQzRrndwt3HHcdWNP6vz0V8QVQRTIhC04Z5Toq6cDrEYb/4TuLzk0OkUwU\ngbz9KwHAtDhNeKBM73nJDxMisLwp21u2VJUToPNQTIFaytC4iexEgRqNYTVxrqad6EgKlFwjbNW6\n82DCCWRq8qm96f5QxeUOic2a8h3W6HOGSxgmoETjCrPgzn1TNqSg5fvPT8VWH3ZXSHWtT9q95iaC\nSKqqqtA0Dbquwy/+4i/iN37jN/CDP/iD4Jzjl37pl/De974XDx48wDd90zfh+77v+/CJT3ziSusx\nxuCHf/iH8Su/8iv48Ic/jPe97334wz/8w9vYpCcm7mUAtxQls0palrsMmtltNi7VuVwuQ2eQqXiS\nwOock1qdrqAuLl2BSa+CflUuu0wjRyG6dlYHd+2YAqlzkVR2IylWorSzTYqqbFW7Cv+i0j1N406x\nimQ9k0bfHGYf181DV3hRNRDDxqXgPcNIGjYjajCfGpwChmkMfp2V73Szax9OFnOlN0TafgsTHi0T\nYZtmiJys5Wkam+5Ztw5/Y3VygvnLXV+vMk/JMK4J4M31gL47Qq8sivXR/ePXZgAAIABJREFUuUdt\nbFMf1YKZd8dFkXb80G/nrGqyT4OBfpFaZ007rUndF1MAtl1A/fFHkHbiYkIAzBdUVRVY4ePK2zY4\na4hFBzsMDmQ3dbShWi2zlqph3AkA5103KlKClBg+/enkC1Oa8hp6vbkScM5W4YHpMaxrmcnhbevk\nEq2zm9prUQXArB46vbH3+rWpvh1J5mMmhUxFUEA8r/p6FVL7FJaLEdhM3QDIdg0ALDh2chHeu2ie\nQTeMWdGtbjLpTW/y4/5Lv+Q1ePHPX4rv26KY6ylLi5fSBs45Xv/610MIga/+6q/G+973PgDAZrPB\nhz/8YXzoQx/C6elxpAPF888/jze+8Y34iq/4CgDA937v9+IXfuEX8OY3v/nmNuQJi3uwekdxl0Cw\nBKld16GqqoMXhScBrBJIZRjfwERgV9zFVhSpPZ6CgSSssZghA8CXESQ430kO24+7jY2q/NvFNHu6\nKJgS8lLlPLbwBN2M9hdjuM+5U1QtToPGTDWro3WZ+2LdOEbw9OKzMFTxW3Xguvea2ETD6WMKqJLV\njZJtuLFRZyf3gTjWXftg0rrKiAbMKFheOU2uf26YiMskD1QmgrZuSp+nk5aOm+5ZNP182pG8UOv+\nAoZLCM6j9k9r97tptw/IRWA4ANZDUPcyzgCIo35vYFqrbGQdDf9D5ynHMgYv0tJOrcgEjI7hMkom\nlaLpwnKzZhmcQzTS+abOXDdSwAo4FpXGK05WkzZxAEYdvsL2zPjrMs5yJpZkBEVRValHFYkcIAWl\nhwCqOFlBnT3KdO/ZOK0JTgCln649eQh2eT653GNaqU6xnlrU2XlluBhNXC1jfuInwGCgRJP5n1LB\nFUkBqIIfcG1Sy0r+KSa113LStmpnWwj2ZBdX3UTsu3+en59noLTrOrz1rW/FW9/61iuv54UXXsAb\n3vCG8Pz1r389nn/++Ssv59UU92D1juKugCCBVGMMuq5DXddXviC8EheR8z/5EADMuPMhuwnLRQe9\nGQPKUceePZGC1DJY27qbunAdiyyBzK7LgXAKPg4wJwBg6wbgEkwPHgRyB0wYcyxasmwjRCiKOcaq\nJo2eLGuAyWIdANjUe2byxPByEdhNwLGYo21izHfHuZrpt2UcjFkYIWN3q7Be6TvsSH+DnfB9rLqw\nX4Z6CTG44qMpe6lN+xCtB6wX7XNY7r4w8pK0XAB6yCr6rRCjIjYt8xu04hUMOHgyuepZGyqlQYVP\n1NGqcq1Bs3WTfy4x7NQ8Ign++78NiwjCglk/tQOe8vzd06UNTZs7U8xFmxdXAa4y3w7D6HqW6jZN\nosfjiw52UBkA5cvleBu7BWxh50RAj9HkUFaAMdAvfyGzq2KLDnbXB3Bs9xyPk/Kg5QL60hXHyZMV\n1KOLvf8DgFgtwj4uJwZzYU/cBNEuT0PBnFnkk0or6+grjOihquslDBejIsU0lGyDbVoa3CgYUYVz\nTPliqUE6wKpEDqjpuC8zIvtkADtdgTODb3z99Ni2poFgr4wU7q5j6v758ssv33usXiPuweotxV0X\nWCmlsNlsoLV+bJB61xZbBFCzsBbLf/V/xef+RqpePhtxiaJrYLUOrRzD616LZrYJoE06O+0DqvlY\nDMCEuxHtZaT2LM8vIw1qEzoHQssuNGkqWrWnsX99EVPFFtlQGMd2oj93yl4CPrVuhsCQWDDoqj0I\nmrVsJlPpc2GEhGUcumrB9QDLK3CjYYR00gPvAkDbn7aHDeusHJtrZA0tashhg76Otl3cahgIrJuH\n0Mxd7gbZQXoWal0/QD3TJx6MO/nBkedCyii94SPJMVykdF3F/nhfpsVdpm6dVpc5plcGYOlspxiE\naySgtbPGStquTm5K6lRxTBTHtPr4H8XJme8IR0sKXq9J8LZxTHDiBMC9FKAMvlxG0Nc5Vw6rhrEn\nLQW5AdQ1GADb9+47nINVEnYYstS/8A0IrK/MN745AF90AaBeJcTJvC0cBbGr+9hgM+GZatolWOpG\nQpOT0hEgkZj01RLCDEGPOhfEqg6yyQCt5jJrLGKYgLDud2Ow6EWLWm/De1Ox1fVR2Z6NSvS4Tymz\nuq/V6oMH841YrhKve93r8KlPfSo8/8xnPoPXvW66ScPTEvdg9Y7itgqsCKQqpdB1HVar1bUuAHfB\nAJ//yYfGFcnWYPGvf9U9mWJ6in2XasTkaumsnwqmRiwXsaVk2lryJqNbjrZlbyTglYqoMlP8tHDI\nW0GRXlTVyxHTdwigprGt52UBumoDOwlg1vh7at0yaV+qqm6WZd20DwNIJDsqCuvlEgRgSd471U0n\njFmMb5BzldCjsdQnMF5OEL5bLyD6dSx08WwoV7uwL0pmdcNXEHDbe2lXaJnfh1zsP96qGvCOC4AD\nKUg6dE0Fq2SQJcTXqgyk8qbNbJjYVXTVFBOTLyYEIJCBT8AVPI30pHNj9yGWyygFWJ3E8SbtYFkd\nLbjQLuI2F+CPcT6CSKyKY+K1K/aa81G+aogDE91QsGatG6vW8TGJo1w+Fqdg1oKpPmsPrKsWSjQY\nRAPL+KiVaS9bSBP30bp+gNX287BMhFQ/pfjp/LGMhckgg4X269vyJTg0Bu5t7fz5eKYj6NrpeMwO\nRgATEi7Hqt6cH/KrMW6y1eo3f/M342Mf+xg++clP4rWvfS3e//73By3s0xr3YPWW4raZVa01NpsN\nhmFA27bXBqkUtwlWzz/2QbcOSmHCuv+tRfuB/3ucuk62hwkBvqgjKzKR8mdVBd428eZp7NF+F3wV\nK8LtNmFbyn1BDO2cvg+A9dXbIaWc6FZHHZIQTfCzCvwJIBaWzziY1TcCVBe7l6Erx3aoegFB3aOY\nyJhMx4B6GynwcNM7Ni7bZyGN23YlW1RqE1KSgKtK5lY7lhcWlvFcr8orV+DFPAi0NrynRAuprwdG\nwno9q5u95wFq6iKwFbns48KcgPlioyEtIElb5s4wbADAdmtYOV1NXf3Bb8cjgbGRswCv3THP2wjw\n2Jym2tiZJgDdrBzAfOrjcZzE9AlkPqcpk2l2pQRgerv5ajUvVaCWxGm0TjtrPv9S/jpZ7yX7RZye\nwGw2+6UQB0J6BlUew6TW9X7pzYRNla1qsN2Y1Td1m/kV27JQb08orzfdyUUAltxqWCaguYQSdZYB\n0EzG6zCtn4nRRA4AlJWQfpk7XcFali2r1wKCzxMyumgU8MXGrJ6dnd0YsyqEwE/91E/hHe94B4wx\n+P7v/3583dd93Y0s+0mNe7B6R3FTIFBrje12i77v0bZt8HW7qbhpsHr+sQ+GCyFPL4oebDQf/HVa\ncTqI+C/n0I8uXAVxErxtYbbbqJN7zK5bfEJryhbLvDCKdHTtYi9bRiB1X5i6cVXpjI0N9L1G1ST6\nMVUvwfXgWNUERB0LVPexqUDswBS0bLLJmFEy6i/DNSaIr/fVEpXeOi0cryH1WFNMIcwAzWtn/g/u\nJAfMqT4t4xkwIyPyMKZi/yvRgFmLQXaTrgBToYoClU114sAzHAg2ZJjuGxPA5BODbTUPXjamg2TK\nF1fBH5d+P1H/diFGwNWlf902hgYE1gIMjjklXaq1Lr1ujNOAUnFV0wRpwUHPXyBOttj+jIOpO0DK\nmG6vpBuHSaqdR+dm41rMet0qqyrHwKphUqs6CyirCiCg23YBfFP632xdpzXGuMu0UOHZjHadbKV4\nollNmdIUlB4DUMNnn3kmfyHt/rVHBgA4WzrKlgzLZyB3F+68SrTXOilcBDAy5wcceypN7/xTi+O7\n21NgSEFMK7fGTxqnr6cv64c4FdPFYcA8s5qGcwswX3Rg9dGjR6F6/ybiu77ru/DRj370xpb3pMc9\nWL2luGlm1RiDzWaDvu/RNA0ePHhwa21RbwKsPvrjD4DBQhTgFADa3/2X8YP7toFSgtRbHS6FqL3L\nQSjYKCxz0pjtQEVM6jHSjLYb2xCV6zkCqFI4oCccY0eMKuOjKlqqri/B4kCtVPf8TvsAVTmW8Yss\nrDNY2nhwORWklRtEvKnuqmVgaABkLDGxNtaDOGJNDa/AYDJGiD6nPSPkWKI4tlQWsa1WYNagmgHK\nZIO15Us0Nme0tKjRbr4QWKzQbvWIc0EXl9Gv+uQ/c8euTICg0YERdsfr+Jg0dSx60vUCXPeQf/Q7\nYc8xKsKzBsyPM0uXMw7MdApCmzCnRwIEU3dgf/rRuP7iHGOVK3aaOw55t8i6weXvOcAYCsXSSSNn\nEaR2iwzc2i98Pq6fKv6Xy1CYFRwTaFEeSJOV1E2H/PIvd+NLZQrWOj9lo93vXI8nJ3EjnC56aE+d\n9rosEEycMFTVQXtd96FItaWGi1AYpbizphpEA2sZOAwMeHZ+krbbMA5YoLdN1oHqZeWLxJLr1VZJ\nCGbwtq+c3s43vbbCR154+ourDjGr9wVWjx/3YPWO4nE1q8YYbLdb7HY71HV9qyAVuB6ovvjjf+OW\nYQ24B6fth/+/eDOds+0hMJYUQQFwtjybcZqsBJ98qrp3dTL7/QBUbyBMO9aRTsaez7jihvmvqiqy\nhn29mgWNwGEmNY1L8QANu8TgmVypd57ZdKCOwOOVNLlA0LtNrrN+iGX/sgOgXEIY5eUSwj3aRBrg\nb7imkCSkMcgGVdF2VfMKl/IBGAyWw9nR4yZ5RXwuYBnAEmC5k2PWcm06CJjY1WfiPLd1mxfOVI3r\n054AUMDZVhHjrqsFJBAZVCFcIZFGnspvWsAX46HrcqayO34SRWHqGYkLZRpMtGUCkFszTVi/8c65\nAfDF0hVOtb6lqLFgyxO37SW72rSTRWjZcNo2sLdu3xTe1vW4Re5NRVoUFho/zE0CSDrhfwu1fAgw\nBj7MS1dIu55Kg5jRgGdNU/Y0ZUEHMfYdJqBK51NqSWUKrYWGcNkOaChbZS4Xc7EZJBgDzLyXCwBA\nWY5eS0geW5I+bczqvrjJAqsvxrgHq3cUV20KQK1Rt9st6rrG6enpqDfxbcQxFw/78z8JGJsVcsBY\nHEw+HjLmD12MyEdyXDwBINj1lKCVWBVxehq1dIulW95UT/Y0Sna2rOKfYG/NATbVBO1q3p3JMhbs\nmqaCNKTpjdYyjqHuZoHxVUEqADyzezEr3KCbWcqiGiYA5gD1INy4hMnZk011gkYdV1Vd6w00eaky\nDuVNyKnyX3M5YmGd56u3z+JV8IsEHFs6yCboWx1rG4/Li+oZLPR82pLCMu7Snx4ElDf8kezBNjDg\nqNiYSaIKbvJpJe2y9TIApofJiVtwPZiw30or45kQ8ZhOAR2BQIorAFXTjCUu/M8+4YrAPPgkcJha\nUE35ofJuAUPfOcI3dDaqOtp9AcD5GVhdR4AK5JKhtoXdbke+pqxpA/PKuwXMxh2rfLmEuXSeq2J1\nArN2//PVCubiYvJ/fX7ugOq+aHxjhio2P6BtUCfPjUB42glO18vgxEFFleW1YpBNnlEQSwjoYEfV\nsxYS0wynRrSis06YFYCpgIJCBQENU+hLlZXQEDB+MrlTEtrybC6gzXEkylZJANdrNfqkxj2zentx\nD1ZvKR5XBpCC1Kqq7gykUix/9R8BAMwh83JiFTi7VhFDWEYSVBFs+97p5aQE59wVV3EG3jhPxanv\n0vftXDp0Xyy9PynjwOZy9mOHQKqeez9hjk3VxlQdSwqWSk1moVcr4yogdcOdNIDS4doXNYVxF91r\nTFKxn/ow9rJzzCuLetbUf1GYYWRxw63GWpxOAsfAoBJblIBWkgw4ex2T2epoXoWirTRKTeqFeIjW\nOoCyxgoSCjvWoUKPDVuixs6Nn1cx7Ur/Mw5mBmyaB5PygsHOg7GSNQ3bO2EDpptlsCqjjkLtH/+b\nsecqtUg22klTqsqdf533QyUpwJ4CwKCNbpf7J5A04atj0WKYIHqWdy5bwrtFDiqn4uR0rF8lED51\nzaNJbF0731bG3T5IGgKQOwI5ApD/KWvawPsdBJtT27PybZxT9wKKqnbj3W2jDIDsyQrNKu/XsQFH\nM7auSqNvTp3shYus0QUA9KJFz1pYsOBGkcYO7r2FvQjpf4rBtzwl1nRADQ4TTP8HW4XK/ZJ5pShZ\n1K0SkHy/DrXXOdx4GpnVQ9ZV92D18eMerN5iTAHUuYPZWovdbofNZgMpJU5OTiDlzf48xIiO1/0Y\nWqIUJF61neOeYIy78QyJyTnPGdeMTamqrNpYPE6K/2QiNdMtEcz63SBAnpdzMQtSZyJl66a0qVrG\njkSD7Eag9VigSiB1tH5fdZ8udxBtAJsEFh2ofQwJy4Re1YIBLBaJCKM8KHY+j6kDAFUqk86OxjTw\nJoBsxZ2WVViFnVyg0jvs+Jjjv8ApDHjQ3ikroSDBE5Ny6tpFvzP5virZYrn9S1y0z+0t4joflvhr\nf/F/xFQ+HTNek5xZlNVNMH2fCstlZNbFxESm2tOHfbGcliIkx+e+43gyvK1UQbgFP9HQSKIAqGyx\nBIade1SDfz64iSEFXZNIt0oygpSVvYxm/GA8gma6JggRbLSI7WVte3AinV4vQhYGEZyW/++NmcYA\ntm5HFnX7QlWxYxiQaNePsbvCePJEQHWHnHFVVoIxC20FjGdZfY+rULmvrNdGsz36eCXAGKAMx+Xl\nJTjn2Z+YkGh8McbFxcWV26reR4x7sHpHMWe4b61F3/fYbDbgnD82SLW/8A9zluMKbOfeFoy3FSkj\nW7Czc8xo2uGGSW+Kbi1458BJppUrAbRnk7JY3ox2VXeHC56uGkq0IRU/yG5kY3VMAdUcSAWAzlxk\nDKRMmgAQY2oRQY3irvvNXPFSGgQa07jgDyChXIFI6m3qn5PPI0U6Bve52jGsvvijXA75QT5ObG2H\nhXGMb9mD3Qh3jBkmUGnHwA68wcJe4AJJ+haJ1MN3o2LWZkb/ltLZ1JnIWxTpZglYExi3sF6yu0qP\nWyGjPrVp3LKqpINV242OQ3tF3apul6g+9VGgroFQ0e86bwXrKmojWkxiWNfF79TjqvXJWK7yMads\nJO0DrXKWuq4d+JVt1vWK1XVWYMWaBna3C2Ob0rBfNdjpQ9jzl0ev26oGG3pYPxGxdc6gB2N/X1Rp\nRANhjpPPGF5BiRr9hCYVADZ2AcmUA5qgLmfxuAmsKeqQWQEQ0vplOJuqab/kL2wX4Nz9Xk6vaiGY\nxbd9zRbWLmGMCX9938MYA8YY/uqXcPzBn7trLr1/04TMKx3W2tmaEmvtnWZJn7Z4uo6UJzxSptVa\ni2EYsF6vwTnHcrlENaH/SsP+n/+DL0ZIbhB0kT8GqM4BxKn/CezN/T8Vh96nSDrhjP5P0408WuaE\nsdHJXl7kOIttJo+JGwKqhyQBaah6GczvAbJpSkAaY6FCnqJkVLfV8rhOMXuAKoDRMhxojJ6qgCvc\noDFS9KINafg01vwEAgqV7cP6G7vBGlF6IDHkjQAKcBzYZWqaUKQaSetKDKtmcjSWQTTYt3s0BKRP\nm4b1g0PoPjQBSPcBjVfoHuvmYbJvBHa6hrEckitcDj7tnuqMKZ1tnAtA0N4m4FM38fhJGzMsfLEi\nZDU+/3g1fY4X3qqPA1JHUSe6SxqHrPIJbtMGgArAFXn1fWRGu6VrMevZVSxPom6zW05LCeqkwEpW\noWsVgLgu+o2KVsWpRnUuWLvI/ZQfIxgxrlUdO035CYnxQNXIeqwtTkJX8Tfbds+gmuumdmT0toZg\nOjt3FCon+7ECgmkM1nmkCqahrQBnBoNnUDlsyDaQBGCt3SSqFd4n2bgiP52AYfqfMQYhRAbKrLWw\n1jrwqgV6zbHZbMJrxpiMiX01s7D7Mqf3cb24B6u3GKUMgBwByNAfABaLBaqqmj1B7S//dF4tyzgg\neA4KE7ATgjo2nftqaPr8XPo+pNg5wJOqfPrfmmkdWRpzb5NlT/Yaj68nIGHy6+nN58gLGVudumWm\nKVTGD/uxem/LsJykDWH6/BiQquqoCTw27UreowBCQRPFVCV6GYdA6lxYxqG8HjQtVkpBLVluDbyZ\n1IoCuV50w5YZcCRgnurdnB61Cg0B0vHQd9xz5pgiJoK+TkBB8WpUDBLGy+zkYUWpTYqOr71penwt\nNihwUhBqI7tjHSSGyXQrAH+8iVC9n7/ut01GbWzpBBGK64SIIJEmcVJ6CywOLLwDAHVHKirf7eJk\nDAJLtw1MA9Tqs5+ITxgHWFJcmJ4/qW1WwsKG57LKXyvjQOcrW9UO3F8UOmc6lwXifhUiA8iMWGzS\nqvpxs8VyDFIXS2A9r1EHAKxOs3Gw1an7LZbzad00bW+relL2oWQDoXvsmtOi5XEDZjR21WrSs1hz\nGc4tM3vhhT+GDbQ/XntTJ80rJDgsBpsXNSorwGFHrOscC7sdOCqx5/rts4qcc/T+JFsul1iv10Ei\noLXGMAwj4Jr+vRriECh9NQPxVzruweodhrUWl5eXYIyh67pZkGr/2f+E4McIuAuzJLCZnLR00aYo\nfRQZB17zpfn7L30uvlcGgccpIEkX3ql0+jFBtjc68ZsEPPOU3FSJMVUFe+fHS4UbVivw2s34Q/EH\nFaOcnB7nn3rF0O3yqG1XzQHAeMQ+LCt+d3IRu0l5bVkaVwGpl2aBiveByax03mYViNY4JmF+yecU\ncGn3ylf0ru0ypAx726Bm8z6nWVeqkOpnQZ+abpsDtx6sWsc6uxuvBIPBgHpU9Zza7cyB2DKsZZll\nVbofwvPUpL24bCrjnv/b5/88LlNKpzsFwLjTG2ZNIMrzL3m++OTvueODwKlIWrdycXDCdcjzN8hW\n9oVP+wMA6sYxouQ1bE0OVCnaDpjo0AYgsqpd0hRgjvndp82koqqpoElAVcdGHuX4drvQNIEtlkAp\nC1ieAJfeRL8AqACAk1PYxQoseT3tOGVlg9CxDMiuQ6ZqwIxC37kiGzHhCLKrVmEiuK1PvKZbQvMq\nWML1vMVg66C/3nkfVCr2600NDY4T/gja5TsmgaaxHNYDV2WcfluHyaGBNgKCu3VoI2CYGWU7HPBl\nMPu895J4+xs3+PU/TpoyCJFJAVK21RiDYRigtQ5gt9TBPongb2pMBMLv4/HjHqzeYtBBq5TCer2G\nMQZN02CxWEyD1H/xPycANUl5swlWIwWqbAxkLb2fFgUxDnz5vwVwDv7CJ/Lvpsv1XooBSNI4zBHs\nKn2Oc88Iqbg8IN5Q6HPpetNZqdekhbdTLZwQrmOPv5myhU8llmzWFcIsEoaE9gHifpzq4lTGQZA6\nEwQaiUktWdhezld2XwWkro2r4j8V52DJvqeiKsAVNTkjfhaAZGklBQAcGju0kzfB3jaT/owaAgJU\n2W/98ijdnujoCBxbBmsjUGawMN56hwCjsgSqOWBlMDnfGF8Nzcdp1a1xk5yG97jUCzwQZ7AJOHVt\nXR04tp6ZcvspSgz0BJtFpu7MqMnJoPGsKVd9aLEb9lm9ilpEOve1zouMgILZdKly23aBtdvn+6u7\nw9KX6sVPxicElgF/LbBBJx47NDU5QCXASuNeLGPBVBopaPVhPIjm/TYWNu62+QSWsShNIIAkxGEW\nt4zFEtiu3eNilZ3zwRUEcIAVjqne56dsfYMPWBu0qpYLWFmD6QGWS/ecC1S7Rxia42VIvewgzIT0\nxp/Pks0z1BrSTQYhoKyAgMFOezcAZhxg9fuRJAHpOa1NPM4f9S0YA3aKY9Dx2BUcUFeQi7/9jfGc\nnHLN2ScjMMZAKYW+74M+lMDrkyAjmJMBnJ+fY3Vsod59TMY9WL3FUErh4uICWmu0bbu3MtL+P/+L\n+4dHzR6ASUCagZnwfvJ64ilKqSgjKtRv+Y74vbf69f7Tn4rrpeVZ49gLeqQQfDKVGG5c5XcBpzXT\nOn+NPkuLyUA4jwUkVZN3fnkc14E93a2AAqReI1S9n80q5QSD7DI96BwYTg2807gqSC3HUgYVMKX/\np+Ax7XYzFxFAStQsBw7GcjDuqowJbLqGA+794JvKSNOd/9YWLKzbeUOaoMHTVmTVymsTC9Iu9BIL\nMa0DvFQLCK7R6QsYLkJnIMNl0NAGUO1ZLYkBG7sAg8VOV6h4UkDjsxDUThcgXbLItbr+nNSyBS88\na7NWmSTlYTz3CZ7SQHLuwPCE/vMYkDobQWOdZHeAHERXdQ5Yq9qd73vajJZhErbXNAswtXNFakh+\nu8pPYLmfREsPWoO2NblWpZX53WKaaZ0Iu1iBrS/8/ydg68OtSrPtqF3lvq5acM+2mqoNtmRWSKjK\nMbtDvXCp/qJ1ci+7UZcqxSsoXqNHM+mhqiGgLUfqTG3gqvxJ9iJg0Jv4u2W6VsshWEz9G5t3tQLm\nk0FKA9/9DQdkFBNxrHVVKiMov0+yulRGQIC31MHeBYjdB1bvnQCuF/dg9RZDKYWqqrBarcAYw3q9\nntW0sL/598L/9jf+N/eYMqL+MXutBLBUEMNFDkz3BPueH3br+sX/Pq6HWJSSpTReIpAWYdHnQqWu\nGL9GbCqLnXjCZ9LlAO7/lK1r2sjM0DbTTamuc+BMOrkjYy9QLUDulLUUAChiSA5YO/W1uxnPaVcn\n26pOANUtP75opgSpFBoyVNWnN77UomqqC9U+oAoAO9Og4m55va2zamLJFDTZ4Fg76sJFOt3y9LDB\nTCdWL6fPh6LLTqlHBYBHwwpL6XSKZ/0KCzkGLtSQIK20poYI1PYVGFsD7XQFZTj+nf43/YKSyQcx\nbULCAqEy3Mg6gGBVLzPJwckLf5CfN0DMQIhE213VgDGwzQKYYN2Aq4FU1azQvfhxLzPwUgMChmrI\nsyvErqbRLuJ5Wqbpu6WbgHZOCmAXJ5kkwnRjfa1tFuAXRcU9TzTnQsT1HJNeJd/ZtgO213cEABD0\nqramjEih8ayiPMBUTXKNvF6UMhQA2OkaknufXnAYyz2b6qUDpsoAqAWDMhwcrjiKMQvlTf2pw5Sx\nHIOXAih/TX55Ex0eHlcRdlMxx8KWMgJjTKjEL3WwNwlg9+lV7xsCXD/uweotRtd1UIn28tjGAOzb\n/q57vLWRTazznX/fuQ0kvoUAIpNaVu8LkT8CUd8qJwqqKGgZPL0xHM3nAAAgAElEQVQBF8spjdBJ\nUtBU7oZYN9OpxSPjJthUdUQab2hWo+r+g98RTdadKY0p/9CpmAOpANDxHKiluk9rGRQqcKahi6KL\nlIUx4KM0fwlkByMxQKLl7nfSVgTw6nqRs9nlp5GCVadb9SlLCMf2+splZWWocDaWB1NzivNhGbwj\np9aRtnYNr3t2VSdFXL111j8b02KjKjTC66W9ebt7wvNzYiKIVU334q5aYREKGRNgmsqBpJMHON/O\nRA9Z55ZVx3r+6jQjULK1lBonMCirmPUAItNJ0S6AITkvmy7//ESYbrXnWpFU+dN6CEjrZM+l60mt\nveauEYuruSRcNYyMxW6makM3KgCh8YXhEorXqEwEzpf1Q3RDzuSu61PUej8rrJPJ/c440ErZBAYL\nVRz3vZEhIzAYl/on3TWDhTIOqNK5lUoBSm3qtud7PVj3xW00BThGRqC1HskIUinBdcc09f2zs7P7\nVqvXjHuweodBbgBParD/4AcdmP6VfxRfJACaFXIlRVdlNX+qczUGEJV7ZDPfoRRjulwgalYZi9Y4\nxKYI4eQFqU6tWwJ9vKhbrzUL1fgpkHjMCJrUA8sYHkO7OqVLJZ1mz4635NoHVIExAAYcYAUAAQXj\nWZmsyCnoRaOGNe1yAwAb3UIyjcFU4eZlLMdaO13dSl4eZGbTCPKIBKimzymM5Q78+nWudZcZ/c8F\n3Zxpn1AHMW60cyxgHNya0LDArWteD11KK6hlavDZZBzaM6WU+i+LuJ759AeTBXIAyUQxmcCZpnO2\nSHXr5CXNItN/630AELlLBUX7+U/5cws58AMQOkpZO85cVF6rmUp3hBgVWplu5bS63UncJ3v05azf\n5ttQ1W4d9Cjk/kIsuGsAG/o9RV8nezvVTS5z4c/t5UlRPNWCqd55qVrjtKppEwjRjCQfwNhDmY5D\np1P1WQrhfmdiVHs77V9Lx/RW1WjrHbQV6I2zreq1hOQGvXGTul7HhhgOsFKSy1lcuUQXD+/3WgSA\nu+0ZjAWMYcFv9apxl1ZOh2QEBGCVUkFGMKWDPQRi77tX3W7cg9VbjMdtufpKhTEGm80Gu7f9x3jm\n+X8S3yDgSRo6stEJKf0EnNLnyTaKtpeKrNJHWtbU8oF4M0qLzdIbHKUk6Qbq03FTnoalZnRfqKzY\nis+yfmVcFaT2ot1buDWwPV2KijgEUtNQ/rS3lmWp+jS96NjPWPRExRdp9KYON0MAkEyjNxUaEcFB\nAJ2WZamCdNlzMQKmHiyHghBwCBjHHFlMFppMgfPeyACb/wp70TG2oYgRwbFAcwnqnS5Sr1uT/y5v\n0c/7yZDrUpQeZ6R/zdraSgc+VNWF13f1CitiMckxg1Hlv/fwlDIHxVyMmMt9lmr7CgCz5YrEIouY\nXppIJg0OWAICbd2AKRXOT9suwYZdeCzDimqyixdJF+T6PC+65ByhfRZjbv2pY8icQwDgmNd+65jf\nUruags8DwNUuT0dpfHX6XJgIB9N/2hZRj9oZl12setlBmh5b6QrjtnKJVrlxrMVp1kpVIWY7ehMn\ni1tdQzKTMabG8uCdarwetdcyY0F7E5enLWUuLIxhENwE1pViq+SokEpphmE/eb43XsliqJSFJY9z\nYmG11iMZQQlgr8LC3jOr1497sHqH8aSCVWstttstttstat91xr7j+8F+7X+MH0qBJ2lQ5x4ZB6yO\nj7KKFjyp9yktl5ZJN0hu89fSz2WfLxg03+3GnDzjbgpX0Ifpa0oD5oBq6psKHOeVehsgda0ckG/q\nnGVSVmZ9wKdS81R0oawM6cF9jQl2us5ucg3v3bKth59sbFFFkYLYDOgmYRK2VSdgP013HjvBABD8\nZDMLrXS5vB6xoHFb8zaalotcSuDbbE4BFWCscwQACBE6X2VdsBgPBfC2bgFjAssKuNR/2ZIXeAyX\nCs5j1oMAc+rmQWMvAOMITF8h9OI0Xl8Y8+ykZ6fV4BoqMOd5G37Z1NIrjaoeTUzN6iF4YhVluhX4\nLteuEmtqE+9Uu9gv9zEFg6qFr7T3IFWLGpYLcD+pIInAPnkQtUedirXuUHlt6uXg3QD4GC06dtSf\nt4ZPTjaBeG4TWAVckSMH80b/PGhZAQdOgfyc/N6/frUitCc59rGwBGDnPGH3xfn5OV7/+tff5tCf\n+rgHq7cYTzqzaq3FbrfDZrNBVVU4PT2FECLqef72fw2bAtakdaRjX8z8I4HJ8lFMMKx0I6zqaNeT\nWniRVk8N7j1idLzP6nU8Va8LUqlwqiwYKmNbHdbJHUr376zb3lCxewQg26gIfE+raeYo03IyTANW\nxHXy8js+Sm0cBX2HAGrJspbAMmVPw/PyM16/qk0EmtYXimxV7d6zDCfVdDHNRld4Q/vZxBoLwUeW\nis9S4MxgsbXtCKSvewkIHi24qNgpKYYM1f9VG7w1Kd2rRAMlajz7Z78fpAMg6ytqN2sNwKVb3kw3\nJN0uR6n/Y0FqffY5322rin6hVQ2mhugo4relzFDYug3MqRUVLBBAoVmcgA09zOIEUAN0twJTygH6\npgvrUssHoVoeAOTlWTY+srEiP1ObTHZtAp6ZGmCrJivesnXrtoOed0uwAqSaxQn49ng5gF48gLyM\nxV9G1Nmkw3IBjXwSo2Ud/YUnihfLGFgOWKmwjzMzeZ6pBJgufQGh05/Gde2UDGS1AYNgNjKqFvgb\nX+V+t+f/tAoANe1S9fJaQhsGpaNV1eNeem9Dr3qbwRgbtYYti7mUUsFLnXOOz372s/id3/kdvOUt\nb8HLL7+Mr//6r3+FRv90xOML+O7jyvGkgFUCqWdnZxiGAScnJ1itVkGUno6Tfed/FQEjUFhZifEj\npezT1D3dUNJCjfKRiqhICkCv1W18L6RqRc7wtB0sVftewQ3gOkC1r1cBqO6LTXVyLaA62AqDrWZ1\nanOxVm0GVAEqtpDhLw0LB/RKoEqg0IKFm6TyWri5GIzATucWOWVVf/p6eJ4UUJXfKbWrLLHZUUmB\nSa8j0KTllHG+68JnqLgqbf1KQf+nFmOUWqX1fEvzfACeALx/6h7WTPoJRwJYAntK+0FUI3u6EiAC\nDrzNyUiOAap0DKdsaFg347BCRACdvl+8Zpo8W3CVFsQARoyzFTJLqdt0nzIOcOnAu/ctLcdh/Hdt\nFfdTNr49TRFM4qCQXh+mrhW7514PLYtl+3UbUUFVnRsjNb4QjqGnIivKsmxlvr92bJwtmXK5yL6j\nqSGAhLLOU1UZCW0ZejP9XWU4tOFQhgWgCgC9EuiVgDEM2nAYy6A0w27w8psbKLt4tYHVqSAZQVVV\naJoGdV1DCBEa/rz00kt4//vfj3e96134yZ/8SfzYj/0YfuiHfgg//dM/jeeffx7r9fXa/QLAP/7H\n/xjf8A3fACEEPvCBD9zAVj25cQ9W7zBeabBqrUXf9zg/P8dut8NyucTJycloxjhihL/jvwT7W/9F\nbhtDlboEXoVE8INMH2lZVBARrLfIdkvkj7QcYpHSz9J6ZQVbT6fKTXM4La4Xp48NVIdmhaE+ou1p\ndYJNddgxoGftJFAdbBW0pWUcqr6llH8ZZYGTshLaezFSzIHKqSgZnhSgAk5Lt1Z1ZFOTZdnA6MS/\n9PW5saQhmA6gVBlns1PG+a6LfcsTIP7a9iXnHxva4eaNH+h/AqyK19CWY6siiOKwCVsmAmg1Qvq/\nCkZU0KKGSkBN0Dj6x4d//tHwPAOlHoxZbyeVgsLQlhWAbiLYsYwf9PxNj+HVFz4ZzOvjhnlNs4zn\nmBVVZHf9c5uMwcpmcqJI3bIIwFopsw5aqjgPxZAUScras7o8PNL/lrG4HycAdDq2ubgqqE4j3QYj\nKhhZB6Ca/tZa1NBJWp9kAr08rmhyYxbYGPdbpYB1KLpLlWHBMJgoBRiSXsJlRuZbvzrXFH/b12zD\nMrRh2KnYJjXVrO56e6VmAF8MQRICKSXe9ra34Wd/9mfxkY98BO95z3vwIz/yI3jjG9+I3/zN38QP\n/MAP4LnnnsOP/uiPXmt93/iN34if+7mfw9vf/vYb2oInN+5lALcYJejjnL9ibgDDMGCz2cBau7fV\nKzAPqtm3f59rXlCyOSHFP1FsldpQMRbdAehxqvAqlQCAUo39KKVXatNsVaTOVs+mG+UfD8/P0lRn\nMOw+kgU4BqAC8zZU1DJxNKYjCpLmQCoANGJwGk/wUSGSsTwrtJpKweuQZoxVxL2RkP7/y6FBI4YR\nYOzE4L4PBunbQ+7bjiAVSBlWS1KE/DVigyWMAy/WTgLWR32LZeWYoy9sGjTSgBdjsYy56v/Muiqu\nm6y6Kq5xMbSoucI3iN+DMa4hATOuKIpYs+CgQO1l/bIYLJRwtlXUOcwKEbWfaYW713dbxkIhkm4W\nwWwecJZVWbq5Xs5qtSd11cn1yFJhlZcaUBcmEspaIaP/alh/Xlhl/Ph0u8zGeXRM6dBJGuQtuyAE\noKZt7mxhp2WazkkRmgXAhavYr1vnNgAnAQAc+DxGCqAX4yKZlN0Nn+N1Vv2vZBtlJjMygEu7woK5\nMQyI7VTLKCeFj/oaXaXCsW8sj7KA1NZKe3AfJobzUqJBcyhjXb2rYThfCwy+gdiuR7g//Off9nh6\n1aeBWS1j3zZdXl7iHe94B173uteF14g4uk587dd+bVj30x73YPWWYwr43eWJqpTCZrOB1hpd16Gu\n64Pr3scAs7/592B//X9F1pYVTlfGrIWVlbt5Jo0KwFgAgMza7LOwBoxam/rvhsdMIyvCeqYHVrCG\nS2cTMmfmvy92rbshXeV7x4LULV/OFidNAdXeRvBTsemy230gNQ0drGjiac99jT0wBqlTxU5A1MwC\n7sZJN8neSNRkTG5JUmKzHuPlsqYidSKYAqpppNIBwIHJaYa1CQzrV64+F7eXIYBIM/N7G4iRr6y2\nrljQ+op5m6b1Qa1kPXjgFRhMYNy4P7a51Vi9/GmXhk8dMYB4rvhzSDdNbCpQtZlu1X3Wpf6nCpzm\niv+WL3/KfV/KWJWfWLxZ7gWOafcswGU2uAgTx6sUVuk2NgTQbd4MgCVFVQDixDTNxpRj8IWbBBiZ\n0WHSWjoNAPvZVJIA6C62W82kABNNFnSqV6VxUsMHD1DTVqmaV4GNV8wXkCXXg0u9Quu9kHe2GV0r\n6NzrtYRgFhd93F+9Eqiln4T588IYZ/6vzLQf6tzP9tK5wGtONQALayOjqq5R+f+0xyHrqmeeeSZ7\nra5rvOY1r7mLoT0VcQ9W7zCo0vAuwKrWGpvNBsMwoOu60EXr2HHum6mxt/+nscuWyJmo8Ei2N8Hn\nlG7q/jEtsBEVqAtPliLNOnclYIFLwChXiasH2GYRmJLrBIHUydjTruUYTeqhzlOkSQ1pbStRYlrq\nQhMq4QugNhWXg0vl1mJ8l6GqfM50tpwAtkJXKdKqJfpAOw3siPWR3MT0u9fCEjjcpyedWn7JqE59\nN4JaV4SSFoBxZqH957/m4Yv++7Rt3rHBF2fF5VPhldeqokZfuByEDlVJtyr3HT8m5tPVjEMUjOEg\nWtfSlnEwYnlT839rnP6V1gOXFoe3xmIAdBU9OudS/3vt1BgPblBhAulBMoyJr6V6WsaTNqINmFGu\n7z0QXtd1B6YVdLME0wNU6zxW01S9ak4y5nFoT1Gvv5ANzxaaeJa0jw6f4WQX5ho4GFGBGeV8T4UG\n08NIU6vrDpyLkRvAtSK5NmhRZ+1SlaiD5EQYFZhVDoOt7SChsDVtAJMaUwVUTou609HHeKvj7ZsK\nohoxQPnOU9pMn6OD5qFh4N9687RuUhvgzz4v0NRAPwCVdI8iWeTEXODoeBqZ1X2x3W7Rtsf7Zafx\nnd/5nXjxxRfDc9p3P/7jP453vetdNzXEJz7uweotRwn8blu3Sl6pfd+jbVssl8srXxSOGWPe9jUB\npr5yObwHf0OhG7lngei18Cib4FGZ2fWI2lUKe60as3l1smmdPyEVnUAN0MuHkxXTc7EXpO6JmwCp\nU+xJb6vAdnLYo6r+p4KAKgVVBgerqqRLzZRGdQpMKsu9bCCCL87MLHgto3QCGL2XhCnGNKl7TRnf\n5Ltun45XxL3xVW6dFYFrtj7/Ge2Z1Vr0oWjtTfiI+x6dBjAwXGbHOQEowGleaX2DbMCsxersM27c\n1EDAmgjGbMHW0TbKBsxqB1Rp2fVyVKR0yPO3vfiL/AXmjjQaO9nQpZPHrF1swvJSJT+B1LkwMzrS\nvnuIenvutKgQAfRaUYUfhfkJrs2uKcY1RxDT0pkydLvM7Kt0t4LoHx+w9s1JNiFJnSMIoIqiFa7i\nlZcCHF8ICrjCvuCJOpE5KEMbd6QPmsMYBsYc85pG2Y1qejnucdfTo4U2XqFyX/GSBXmxzsXjgvNf\n+7Vfe9whPVVxf7jdcdwWWDXGYL1e4+zsDIwxPHjwAF3XPdYJcswY+bf+nSz1nhU7+OKHrAiCscCs\nhMdQdSzz5wRGQ/ELi/23U2alKOgworqSG8CuffBYQPXYCv9jgOr4tVx325sKw57K+7lYD3E5p/U2\nA5PkwWgtg4DJipjKoiZrmYN3xY1to6vMFoeCCjk2g3tPmZjSNynInCmwAhxInQLoU2nMFOhz5IDX\nmHwZX/Pgc375kTWd2nYTxBHuf1pmzQbsdIU3iT8a+Xim4CN1B9gHSixLmEICPAkYC3+iGhnO79Ne\n981xxYNh2el5ybg/h5NiplA4VoVz1WTV+kkzidoVOGpfwEWMr5F10POmMVDb4kQOYESVn+f+OjIF\nSuk1K+vwfwqK5wAyxW71Gqj2aj60qllBtW4fm4LpNVxkmlQlaiheQfPYPGOfjyrgmk7QOb9WXXCg\nmDrfwnYMiV7VxKYfFGmBlXvO9lb1E2uqE5sqCro1fP+3X+zdjn3xNDKrc9t0V3rSp123eg9W7zhu\nGqxaa7HZbHB2dgZrLR48eIDFYnHQpPgmxsi/5T/JbHVs2p4RcMCRQCcXsNRtKlhTJVo4eo0x9znA\nV//zxPpKZHZYUx2pTGn7MxHHgtTUYH1bn2BbrY7Spm758iBQ3drxTbQvNKtkD8VgMehq1oImjcu+\nxmWf3wzn7klUoDSVWicAacCi9GACtKY+jJc7N166MQpmRwCTgGj6V74+Nc40CKAyv3yGuJ50fYLH\nLf/K0z8fLXPuL4zVs8hAdE4I32c8OAAQOLHJuRBtr1h4fxBNWP7Joz8Lx3+c6MkAWqeCKslTuyRV\ndWHdAA7aqW2rFZrNF0atSlMG1RYgtUy9a79OU8XJFoHUY2JoczBd7R554ByP7zAOISOIp0mwd0cg\nF4N0HCmoD9X5yfr0zDh1ezIam2riuU6vT1mCaV55QOrGr5kMaX+LyLoqXmMQDQwTwcsXALZmGlDr\nUMmfXxfWQzWpy6bzzljnFjBojl4J7FSiMVcMO+WOwe/6+vmCsv/sWx7BWqAffMeswWIYEosz83QD\no8eJQ/fM2wDnP//zP483vOEN+K3f+i28853vxHd/93ff+DqelLiXAdxy3FZjgDlD/5sIxtjRrgX8\n3/uPoP/VL8QXfKEIFV2Q7q2s8iXdXfhcUlwF6/RypbyAJQblVNDCjAo2Pszo7MZFMXRXL5ii2NbH\nFU4Bh5lUYJpNBYCdqYtWiNOMXFqBnwJNACOQmsbgzfPTaGUfAGnZ4tugYBwT9lMZxzYqy3zVMIe2\nLEgXdlqgEY6OEUm3qjT1Xq7rqlG6IzBYgLnGpKS4tRB4tjsLqX/alilnhZH/a9DA5l293lh/zDUS\noLajSarfdcJiGWilGISTewyigbDjVHnQc1oTgZhfFhif7Cuv6kU2oRr2sP3bagyyYhMCHTW3yaNl\nImpCPdsZmgYkQNZQartagJsBqh47AQzNSWiIQLFrTrN2pG5M0jsrcAD+3Gf+euGdCmKhpr9WMAHL\nAEbdwmTrJALJsk3dZc0CpqIE0WWodtxudRBNlupX3Jn/K14nYLUosvK33bSVahm9qSY7U4UCKyUg\n/Em77iVaqbGoFXotsVUCVBuXBoFUwFX473a7va1Dd731l/O4oO3OwhgLzq8HvJ5GZhWYBqR934d2\nrjcd7373u/Hud7/7Vpb9pMU9WL3juC5YJa/UzWYDIcSkT+p146pjFH/9P4R+/p/GSmZqu0pjJtYU\ngOEcjBuk7RQN50GvF27+nplgQExJ+htWWnlt6kVmtxOCi4O6vX2xaaaZ1ymgcwxIBZAVUeSv57rV\nIWFUAaAR7iZvLcOF6rDV0qfxHfuy76dqpYKxOeAKLGSih3VdpmxwDKDIC52mO1cBCEA1DeIqaez+\nxez9q0YK0AMApn1q42cqoVEx5YDqnvauI9cDssSCjVIA6+Duc/iLoEk1iQ4bSCv/RfacWx0ADI15\ndfFirF5H1H+nGu4ylGydJZRswKzB4DWrtCVDtZj8XglSTy4+B8sEWAqY02p7AoeJE0cApGYIQNAI\nV1zF7Lw2fPCgNU3/9/UqA6hi2ML6fUXLIhAKHsEog4UVPDwHo9+hygC7lm127dHVIvufa+cpquol\nhJouykyZ2EMAFgA0l5nlmS7GBLjKf+slJXQc9sgnro+GBToZPU+3ug5noyuYEllR1XYQUCZOICmM\nYaFltTIMnNkMqA6KCh/ZbOtQIj60jrrVlE0198zqKOYA+NnZGR48eLy6iPuIcQ9WbzmmmNXH8Vq1\n1gavVMYYlsvlrc3WHgdQi7d9D/S//sWs8CqAUBbBaKie9v+HSme6LBNrSulUXgUPSwBxGUK6Yo7U\nwidJAfbt6WSf9EMxB1Kn4iogdS52JmdDh6TatxW7nD1kFgu5xcWwwDH3Cse4OFBCaUPOXJFRK/oR\n6NYJYAMSRjVhVtPCJTVRbUyvXewkHjSJwTuBQhvBZVqQsi+mJgjpe7QszhwwFTDu/wQoE2CdClts\nN5A3UCBIyKyJbVURvXht6s1KbKgPzaTfdmDgDSqz84ybA7IpKKSuVoY6tsGBX6osV1UHbsZs2yCn\nU9tTbGoYu2duuVHjCnsChyRl4BLcDDCiAbkUEDDWsgUz2oFpowNATUNP6EZd56zC79cztOn/BEYj\nyyz875AUful8TGG9st1rqVU6KKiqgxyuVnClmcyOX3quuYSxYpI91YhZjrSYEgC2qkbFxxMAsqoC\nxrKYbNmWgXOLQUetda9YmI8QUH3XWy4AJLrjpHWo1hpKqewaY41FP1hoY2EN8CPfcz0nhUPFSK/G\nmAOr5+fn92D1BuIerN5xcM6vDASvYuh/E/G47K946zuhPvBLoz7ZsNbfTIzTpVl71P9+MF7LF1Ov\nYdneysfIBtwobxmT9AFPUrSH4iogFTgOqO4DqQCw1U3GtO50FSBSw3vHiCbvk4ZtWW1wttu//nXv\n9XOWBXaUM8+m2tySCsgZy6nK+3Qvki0On2KJB45KWpx2QwSlCUAt43HZ1XT8QbcKC8FM+D/Vts5F\nqcHN9Ks2amifxUujz2XP02OewG/hBgA4ZpOCGgYwxh34mjjGAdcRK6XP0w5JfbUcHeNU/De5b5lz\njI2gUGYSjQAC4c7dYEclarDkPAYQWd56CaHzFH/fnEDo3nV34hLcKOz8axRC9/76wME8CA9NFJJ1\n0lgAzz4XMou08ErLGmLYQldt5pCgqg5cqwBQU1eAoTlB1R9uCOC26xT17hx9omfVTGbsuEIVmk4o\nVHHC54+pzP4MrhPcRuXXgj5pvkGfntKpUuwUw1YJSG5D1X9aQEWtUjlzEoAyqHUotQ8FgGGwUMqi\nqhi0zo+lzWaTsbBky3hsPG0ygH33y3tm9Wbi6ZravAriKkBQKYVHjx7h8vISTdPg9PT0KFP/uxxj\nGfKvfTctJCuSAJIbeuIMkP0PZK9Ty9ZYMc3DZ+hzxreEpOITANi1D48e76Z5cCWguuGrawPVrW6w\n1XkKMO1K02sZQJK2PPylDOCyylskpnHpgeqyGWv0tGWBVS2BWVlglPm5+vfpf4qyyphiIfuwjHR5\nNP7ytX0xy6omBVYCJgOq2fdn3AemOnWV+wAAnmF/6ZlGnv0BiM/994IcgInwF5Zz8RmkLUMpDK+Q\n2rxZX7hlkoIjOr5VwqKWjKplbK9LxWod7apM5l7gqv+1qMP4AARbqLSNbBhP6U4AYKjGDK+WE44X\nxPj6YjIjJHTVBm9lalNLoNTIOuzndL+kLgVGVGFMqVPBUHVQyRjm3BmoME1VHYaqO1ioBgBn7Zfk\n6X8roeCWr2Y60bnPifA3FVsdx3851FmLX4q5865XcYKrDAsgFXBAtVfs6Bapf/9vOwBPQFUpi6E3\n0NoGwoSazlxeXmK9XmO73WIYBmitn/rq9KmYkwE8fHj8Pek+puOeWb3leJwCq+sY+t9EXLsIjCqa\ns+YALLOiSgskAAR9GgBY8qSk98gDknEgqch2Kcg8zTZljzMVV2VSN/w4/eshNnWjom6V2KydrgLA\n2mqJ09oZdZc+o0DSGWqCNbvYycyW01rm7ZtcGtCmms3k64zZkU9qxq5SNxz/GcYsYBnWvYTkBptB\nBO/FSlg8024DU3sMu7ov9oFZ2gccEbReZ/np/zQ5eJZ9PqShy3XnrVkTO6zkdcOSgiDGXSEQpf3F\nWNtYhuFyVIQEAEpMgEA53cI3HaP7SYXvopUwguDhfeqwlTY7yBhVET1jp6QJQ7V0XrCihuYVxERx\nmDD96DVn6B+LvSwXgPEMNUzmZQrhOoDt81hVVZcx0imYHuolpNqir1cjVjj9/QAHZOv+An29wqY+\nAYMJy42NM3j2nMFCQeasKhg4TPgMdUWbs6RK/VR77c61dS+hNIPgkTm93HL8ldPef47D2GhLxRiw\nGxyA3Q3ue+/5d6/WItUYwCT78R+8Z4sSOpCMQGs9q4NNWdinkVmd2557ZvVm4h6s3nHsA4I3Yeh/\nE3FdsCq+6Tugfv9fhOcESlOzf0o/IjXTLlKp9Dytsg7v+0IULZtMIzc0q+wGVcamPs6DMnz+hkAq\nAKx1M0plbFV0AdjpCqf1ehKgpQb41qf2WzngLy6XMHZ6k1bO2ScAACAASURBVEe2UYahqyYYTxuL\njNJOUPQeQDZO8XtKzx+XPHErmBtLtm2YdgmYivRzpPVLgeqxy5lkfAvm9yF/GbB5ij9+KToAZC8n\noDWNh+vP5p8hQEYsZtKxKuozXUGhFjVgbUiLD7Ibgdx9QHXDV3hu85msJanxpvqx81OUGhCTSsb7\ndK6WhUNKdkF3SqCvl4tQ+Z5lO6oVhBmwrU8gjHL7h4q5Eu0yrYuR/y+PmlATCrHivieZkXujOCaP\nuIYRUA3WWP4M1Vxi51P9pP0t9a8GAhoCAjoU45HMhiZrJVOvrQjvkRXaVHq/13KkXS3Z1O3As/NQ\nGZ4Z/e8GN1nl3KIfqDHAwV2Sj6M3oau206vOyHkSGQFFqoM1xqDvexhjwv1lGIagXb2qjODVFPfM\n6s3EPVi95TiGWTXGYLvdYrfboWkaPHjw4BUXnz8OWLXWYrvdYrvdov7qv4Hq48/n2jJ/48mKJrj0\nQNZEVjSxBULCQgH+Rus76NAN1sh6741p3Vz9QnGTIBVwQLUMSv2nACvqS02o4k/T9ECeRn92scVL\nl+MxtJWGMU5zyRgCk1oa51Nk/qL0WlJcheS1NHrNs3amX3qyBmM2rGfSyP8KDOsc+CQ2dd9nrrKO\nFGgsxQU4HYPJfpnSdlLkzCr9Xu61Z9cv+AWwDJyGIkI2thWj0KJ2tlCinmRhd3Kxl52dOo5jl6yE\nwUTO4jpGmIMhjjEdE7MOUAJALxdj6QWb11dKHYvMgBx8UvEUTU5DMRUTOcD3wNIyBm7VGKj6UKJB\npTYYpGOA+8qBaaH7qP1NluXGfmQ3Nsp2JAVT2rr/tRWZ7pk+K2CgbDTwp25yFKk0YDACuugWR9EX\nk8VeCUhuwJnFpufZ7ghAdYg21cfGP3jPFv/dz7XQxsJoi//274wZ8bmYA7DWWqzXLntEDKy1FkKI\nERP7agGw+5jV8/NzvPa1r73jET19cQ9W7zhSsJqBu7p+IkAqEAH2samaWc/Xb/x27D78/3oWJbf0\nAZBbUIWWk3nKkcFp2qhYItWppTdpKuIwTLibl4+rAtU1PzkK/FwHpALARlVIrQp3usKq2gaAp40I\nFewpUE31o1Ogk0L7FotUQWwsw0m9hZ4AkN7RMovMBQAssKrWEgh1n1OGQXqbnNc9WD82cCxB4Vyk\nbGr52ausO/0sAVDBNCreB6A6NcZ0ApWmpQPQsU5iQUD14fZzmTQgm5gUcoE4OAeeCAxOtWoFgH7G\nBQDICwCf3bwQgGDG5PpJYwq+NQFEXoGRW4HbsOBWQOsfRBvOQW40dtUysKqD14kKo7CtVuGx6x+F\nbaTlputIHUMsAdR0HzFEdxH/SEB+jtVWss2uFWnan9qlpr/BMcfRy+2XYbBVSOWnDKqyclREFcbi\nmVWKFJxe9G6fVVxnYPOir9BKPatTpeg1j1ZW2oFUbVxb1H5wzoJ/921XkwAAwDC4bbkKUJ0LYlAZ\nY6jrOtzvUgZWa42+7wPrSvKBJxnAHgKr98zq9eMerN5xkHXVdru9FUP/m4hjLwaUylmv1+CcT3q+\nNl//72P74X8ZvFIpUp/KrNjEs6XURSf0CU8LUJK0MaUamTXY1SeZvu+qKf81P64BwLEp/9n3VJ3d\nEDeqCqASQGRUC5CavR9AKPCw6/Hypg7k8nrH0UgTv+dfJ3snCgK7pSIyZXBzoDp9XBjL8OWn62kW\n9THBZBmpvc8xQPXQutJluAIt5eQEBUM/xbKVr6XZA4sEwAYgGwEiHbuUUs+kLQEs+d+uTLsnafU5\noDpV/BeYSBZT5mn63HAvASB9Kq/C69zqABKnxuHGa7GrIsObthudjHR/JdvsLLNMlo634EGyQNtC\n4J9Advq4L/pqgXpYh/Uafy0Jy/XaYuPHp1iNWo0tmkgW4LhlPnluKGppnLxnwSCYDlpUKlgUXGf6\nVMCl/NPLsCoq+IfEN7WtPTNtGQblJpQu/e+uD7veAVV1RQkAxU2A1DJKcEdAtPzMlA6WGNtSB/tK\nxr5M5D1YvZm4B6u3HOlJlOp0hmG4FUP/m4pDIngCqQCwXC4hpZz97NzNPdXJ2eSGROlSC+YqfZkr\npiBmK0sNhs/nzNSmOh6obvhqxMZMxdo4gDBlgB8+swekAh6oJqBuqyScf2qfFTCpsuCptJIq3l81\nCo+2Eusdx8OFCgwoxYN2N7mcMoInaQJU43u+s5V1Y9wphi852UJ6f9MRYExaoGZM5hWLrW4CqGb6\nWcRlcGrymrw/lfpPn5vyePYp/1xKwfHc9oWcQQysZZyQZcAsMHzVCNQqHovwhqniKr6Y/E0f9H8x\nCw6BZKLI2Ii5BByrS4C1PI/pM+V4CMxyq7GTC3CrsZVLLIZzv3/z7XWvCQ8Ux0Vr6f/h+Pfj5kYH\n1jg155e6hxI1pGdRudUOeDIGzatwLQmMeJB38AB+e9FmYHUz0c1usBKCGHArIJmGsmKeWfWWVMry\nMEHd6QrrvgodqTaDRCUMjGXBHq5XAsY60EppfV2sgp7vBneODiqm/QdlIa7Zdeqm4liJ2VV1sCUL\ne9c62PsCq9uNJxMpPYVBXaco7rrC/6oxV2RFViVaa3Rdd5SVVvdXvxXrP/wtADlDSrq9zAaouOE6\nCQGDQaJZI+9Wz+Bwq7OUZCyI2F9pfawuFYhAdfb9AyAVwKQFDYWBAz2CWSgTCzSA5EZqeWBYOYts\nq5MGAG1lUEkbACX+f/bePF6SqswWXTsix3PqnDrFUIWFFmM9BAVkKBqV+5r3tPBaLfp8tuiFvtpX\nu32vW5FJQa9KS7dMMii20tgqg7S2D7GvqO0AKOAEYikggzKIIMVQCFSdKaeI2Pv9sfOL2LFjyMjM\nyMzIk7F+v/M7mZGRkTsjI2Kv+L71rQ9SBuBq5kQ0SfWNJcYZgFAt2lhVsgLpdHWSjop0xRHVsAIq\n/T3dENUokur9eUQ1zEDeV4jFvCg14JFUFVTpvUvzGT8xJFJK54pGUv2aVyoslJE+W9GrWkY58B2b\nRnhx1Sp7Z3s73mSvfkefa4HWGCBSotCGYxTcfaOOp1GUHap0BwOXqPqIsz+drxZ9qVD3iZ/gMpcY\ne1pXORZabnLbJeaAJN9uAZkSVaX368V+dC3RGyw0RAVNpwSDcTjKeFu8KJdRZFUw99ym84POLzrP\n47DULKBghq/TaDHYNlApAbWWAc5l4aN6GFsWYDuyPepfvbp7CcAg0cv8F6eDpSisqoPVJQSDkhF0\nkgGsWbMm9c+cNORkdcAQQmBxcRGcc9fQf+fOnZm37tDJar92WlMvPRrLD94ZSk7dIiK1shfwWrDC\nACODbEoxKh+teic2Q4o9dCybq9ub6HyHv8zjt5eEpAJA3SoFakDqlrSaqhYsN/Vvh0gA9KpimT5s\nt1VUwJiAIfyWV45gXlRVI6qRZLK9XE6u8hGHgJulM/3r6dFOQ10WMhlHFl6lSFTjSKr3WGsyofxA\n0mpKu3ESTEYeYxoJAMCa1nafSbxXxS6gFvIEtqFENCl6q5JIy/Afay0WL0cxhOMjfpII0ueEF3ep\nkUtdxtDJtaFlVn2vN80pmMJ2q/8ZRJCIKml9+dz0rgcRGRl3jL4obLuwiRVgChslu+4jzJZZkd89\n5DvR+10NLIueFpusiqpY8r2XoqV0XNi84N5sElElqBIAkzmBG0P3c5x4WZgqAwBktX7LZq4OvtmS\nJLVgtsdk9y7BSRtpz30UQTUMw5epFELAcZxIHawehe0HnchqHlntHzlZHTCoNaqakujbx3QIoDGm\n6VQwfcBRWH7olwD8nWq4qnHzRZz8/baB5IQrDERSE6/P430rkxDVuhUeTW3YxcDYXcsbNZ2sWEaZ\nzLPFIaLKIe1pfNq49mapU41M5wf3k6GSs7DUubLM7HAtZxCuC0Avnqf9ENUkJFX/rxNVHb4InuaG\noEZTdaI6Z/3Jr1H1uWFERw7VddSqeAABzWgnkgrIqGpQvuAVEPmKw7TUug5dfqNHTXUSDcisRQGW\nz2M1Lqrv7wCmLg/X//qircp2q9aiz6kAkPpeN+3vi5QrdlNuAVpwHzTYFCqiFjpuR6nsJ3JqQEZN\n9eJILuDTpsvoq397cW2Ubc5AnbrJ2H/VVPsGsW0vZSmHtWEwNFsCDgfe85ql6A2vUDDGAjK70Lay\nioxAj8KmAc55ZuV+44R8Dw4BhUIBnCvp0TEgqwDQbDZhWVaqTgUBTZpe7Qt/VCuqwhfwoj+CGTC5\njVaI/yShG6Kqk1Q9orSsGPvHIYqo1q0CDCa3S1FVAG5E1REMYfIyKrrwvFCZS1odzlxZgPRhle+Z\nqwZ9VRlE6PZ7gdvqVCGq6mtR7/E9T5mohr3uj6oma8EbjKCGtFRVyOqc9SffseKrvKeIoeId7G4r\nJOJHWtVAkRWLb3rRFGUIwTDNGNTdrHqUBm23/Kl1dRw+It2OPjrMa9EahgabgglZzWMohVH0+XHW\nUGFj0cejPxZgmG7tDJBUtRCKthFFVgF/YViYJMTdrjENCElIAUlAnbaEB4CbHQmDxc3Q4xQAFhry\n88sFDssxUGoXSdaaBoqmgGUz2A5DoyUr/AnUpcp16LCBliVcJwAzHc6VGkaZVQxrK0syAorCUgcu\nVQfbqa0sRWzDludIBzlZHQGyTFaFEGi1WrBtG6Zppu5UMLPxcCz8/h75Werk79OyMW9y16JO8n3+\nyYdBoGVWQieIbqOpnbSpdTs+mhpFUL3XC+5kVS7YLqkk8krP6b8blaEoqZDdleQ6cn1VDsA5c5sE\nzFbbTgoK6aLILUVaDRZO+OJssdR1iaj6lncRVU2DqCaNpiZFEpJKjwUYZpwdfi1oREQzTHsZRqRU\nwkrPHUSfg01R9m1rV7Hdtx2fJEF14dDG4HuPNi6d2EWhBampLfFGW4bANJ1smLtC/LEWVWhVsZel\n9VbItbRenAkluPRcvbboBXNcmC7ZVtFk/mvDb5+exUtftIh2N1K0uGdZRVFTN7raXkf9qg43XMmO\nfg4VTY6GZbi2cA0ruN/qDYFKSZ7DTYuhZclCKhWWlc15JktQZQQEVQfLOYdt2z4ZgR6B7UTAsyz5\nGxfkZHUI6KXl6rBBDgX1eh2MMRSLRRSLxYFYas3udyjmf38vAI+AUsQlQAaY4U4m+sTvFlMYJcUW\nSCJphT+hE0kF4olqXPGU+xktfztUdeJXu0MRKHITpvGkTjW6HECuL9cxIHzFFhSVpW3pRJU+Kwl0\noqpHVX3rJiCh3RDVbqKpwdeCUdWk31k/NgH4iGooEdOfR5BUNc2uHudRJNUSRZcsq5jFTo+MKRFb\neg6EkLPYBgd+ksqZAd42vDfggFwQfKl4vuT6t6rfuRv4CH97W0wIFESr/TicpC6X5nzfQd2WzwtX\n/awQ3aiNIiCAJiow4aDBwrXrdI5SpoKec2GEOgKoRVVRriL1loFC+yepNY3QAqum4iZlOwy2I6UA\n5AIghNSpci7wvteHSxhGhazXawDhBBYI6mCpmIteoxaztm2jUqmMxXcdF+RkdQTIGlklkiqEcIvA\n6PmgsHq/g7Hz0fvc5y4JjYg86Y/pPYG2kxEWPlHopEsl1OzwyG0SkgrIiKqKkukVV6iV/wQnMKGS\n7s3TvxFUokqkd3W15Su0IuLa73XT508aQlTDop36e9X1aGyd1klCVDuunzD9HwWXfIFhii8Gjj2d\nlIUVafnS/wHCakLt7KQTVRvFwLGtZx/cNLuWfhfK6zQO/b1RUVW5vtRkqvszjqj2CyKnNGb394wg\nqQCwXJ7Tvo+mOxb+KDmBw4AB7u5vM+A8HMTPH10niSGXnaO48LcrBrzIKWnKDSbk+SsYTIO7utY4\nnaoKy/avWywwl5g6jiyoUsGY1K3mSA9ROtharQbTNN3M5HHHHYedO3fiZS97Ger1Or797W/jsMMO\nw5577pkKeT3zzDPx7W9/G+VyGfvttx+uuuoqzM525ys+bsiYmmVlIquRVcdxsLi4iOXlZZTLZczO\nzrpWVMMYI1nFkBaOoqic+SdBes0xinBYAQ7z/BQpVWqzIiyWrDIfkJHUxETVkgUtOlHolPIHgGWr\niGUrqDMUwouAcs58z1XtqZpCJKLqcLmct3WqKlHlgmG2Yinv9SKv/SIsitnpAhJG8Lshqn6tqUeE\nh0lUWduL1WAOSqIRIGSywj6oYVU7I9Gfbx1muOcArSf/e9kEBwX3rxNWixeUMRmh0cXAONpjUM9F\n788AR/tPSFcORxRcey6dTE/xRY3MJj/mmBDun8EdGNwBE9y1wWLtlsxhRHVneS0WyrvCgemO10EB\nXJjeH+jPCPzp38WBCQcmbNF5n//2iTJsbsDipqs3dwSD5RhtCzlvH6jG/g73nzn1ln9fNlpSnwoA\nyw3D9VC1bLSLpgTKJW+Zw2WXqpYFNJscrRaHbQu0rP5vHNLGSos20ncpFosol8uYmprCrbfeim98\n4xs47rjjYNs2PvvZz+Lwww/H2rVrsXnzZpx55plYWuq96O24447D/fffj7vvvhsbN27E+eefn9bX\nySzyyOoIQF2sRgXOOer1OlqtFiqVSqgN1TDGuMs+B+L5xx4EEIxK6Ro+PVrjpUuNxGlcwrIjSWqn\nIqllqxpKtgCPqEZFK8MIKqFocnAwGBC+CCpFfwjcF6Xxpy/JW1UIP1GdKVuRqX/GvPQ9BVyS6BDl\ndqIjp1EFI2HvV5GEqAaWJdCndhpLkrG5r4n2/hIOGKd0tEJUYwhZmD+pSk71AixK21Oanb5HEtK3\nCgueb2nE+vrnBl4P9TkONjtgEJIYCmnDNc0XfJFPQuzxoJHOsPf5lkXcOD9mbAQsWdS0S2nevVXQ\nMzJqVFxdDnjnED03WXhklTrXMSZgOwDnwlfwaAfcONpOHu1z1TAEbIehYAo0balHpUYbhKW6galy\n8Lpr2SyyUIpzT5vqtKOr9Py0NwY7cOVIHzoBLxQKOOCAA2DbNu6//3584QtfgBACTz/9NO6++27c\nfffdqFY7S8+i8NrXvtZ9fPTRR+Mb3/hGX+MfB+RkdQQwDAOO0znVlDa6saEaVvR3170PwHOPP+TT\nx6kI+jD6U5PdgEhqonWt6AtJzS5F682s+FOqaHp+jBRo0f1SyQ3A3z2Kua+563G5nsOB6XL48URk\nmsYbRiD0giAdUUQ1au/HElsE9XqJCWgCfWrwcfgNV6S+Vvi34+klVQ1mssp2IFjcE/Y6Nwpuip0L\nP8F1YPp8dinVzJXHc+ZO9yZHNdrvNC73sU+jqkb1gxZdgCweYkxgFRZcAk/7gxB6HCUgqIHlEdeg\nP5r7QYC5GlEAeLaxBruV590bMh/J1iQ3Omk1lOPEcTW5HDWnipIhCxUbThkVU3oW27aAacrK+/se\nK+GAl9huByq3SJLL38l1CeAGDAg3Ympz5rOyWqxJtw96vWUxn17VVk7xRkNguiq1qg6Xlf/MvZ4A\npslg29mLqgIrL7IaN0/Oz8+7rVYZY1i/fj3Wr1+PLVu2pPb5V155Jd7+9rentr2sIierQ8CoZQBC\nCDQaDTQajcQ2VMMcY1iBR1gUKGwyddfTJhwdS850omhbHEmVr5dDiU6t1flUIisaAmnZaGJVx0cR\nGcAjqGrBFHmoVop+kqoTT4qmAn6CproQ6O+P1YVqRDUqqhpHVH3rJankTxh1DT4OHg+hWloRsn0R\nTsJUhKXZaRth0U29OJCOZ+93LkAnUZ2wujAPgzv+9WN8XOPG7ju32r8wh/8cE4JhCkvuZyYhqmmS\n1MfN/WW6nfsJJ5HWPzXnsGt5ITrCStpSnaC2ZQD0WxiMxzowADLlzhWdqMM9yY4Kuy3bMQzhjpMx\nIe3m4L2nUhJoWgyNFnMLrBZrDKWi93kkByiXGZot+dxxJFG1LAHbFi5JPf1NjdjxjwpZkMANAmEE\nvJ9Wq5s3b8b27dvd50Tyzz33XBx//PEAgHPPPRfFYhEnnnhib4MeI+RkdQQYFhEksXe9Xu/JhmpY\nF5W1G/bD9j8+CiDYUccdi0ZU3WUKuXJgSssYSGmALfxWV3GIIqnq9mshGtVOkVQAqBTaZEKNlGqT\nKBfSpJ9IqCNYIHrrCOZuS98GECSg6thZyLIwJCGqcUjiCGCEbG/QRLUbkhr2HIg/jlSpSliWQI90\nknxFveFy3wvvOCeyKAQLrS43lHalceOMakTgO6coOgsl0tr+K0NaUelRZiC4z7zlEUQ0gqDq79Hx\nqLERnBsoaPvB4m1JkDBkWl2JooYRVvq+qoRIRkDbtlMw4AgDhQg5ACCJIfmYOtzTo0pZgLeeT7Pq\neP7JtsN88iGbx1+jag3PL7XREFg17bkQCCHHw7lwLekcp/O5OkqstMhqXPcqiqx2i5tuuin29auv\nvhrf/e538aMf/ain7Y8bcrI6BAw7sqrbUE1PT7sGyEkx7Ojvug374uknHgeg6/r8k6muoQO8VGnY\nZK4ijKh1iqS667XC26VGoVq0vXHDm8D8qcn2f7Kcak88pGFz/3Pmbk/9Lvp21OdkSyXN+tP9HaOi\nqp2ey/dGvxZFVDuR02BUV23A0SHKF0FSkyCqdagOz+kiPMUOeFpQej0wbiZgt9PTDjexurAQ6gVK\n44iSAujjI8cC1ZGC9p/ZFhtQx6o4Iu8noN2R1OBv4j+Pf28cIK2g2sstbro3eK40gRuu//D22mrs\nPrUAQwA2TJjgcNT9CyaXCarGN2AyR+5fZd9bPHh+N3kJdbsIZsgorWV71lC3PDjVJstyXZLoeDej\n3msMoh1xDXyE/BzLu8Fcrksy5HB/21TLlpkTiraSG4DjCJz2xmUIYWaSFEYZ6K9ELCwsYO3atalv\n9/vf/z4uuugi/PjHP0a5nLyweJyRk9URYJBE0LZt1Go1cM4xNTWFYrHY0wVrFBe5F71kLzy17YkA\nUSUIPSVJf26Rkf8CGGYJpSIxUbVKISS3GEoCy8XoaAxNWgTXoxFCFlyJYMFVqeDA1HwWw4hqOMHx\n/1ffT9+HJlGgQzQzQqc6CqLaSzQ1iqTK16KJajfaz6TvUd+rFy8RHCUrQKSKxjdX2BmQvIQR5yRj\nBbx9Q2eUXBaUQcSR1CQENfCaiP7tAOBhdqDvBtTmBTiCBSKrNjfgcMO1hnI4w1OLc1i3arGdzm9X\n/AvT3R5lXegYUV9z2mSYCq0aWlvlllOAbQs4jt/HuOV4GlQ616lBh34O2pwFlnUCRXMBj6i2LElO\nWxaH4IBtc/m81YpsIxrVhSlHb4iLrM7Pz2P//fdP/TNPPvlktFotbN68GYAssrr88stT/5wsISer\nI8AgyKrjOKjVarBtG1NTU64FVa8Yla5WJapeul+zslIe83ZrQ10S0Ak1u3N/dQBYahUDuk7d3J9Q\nKnCXNKoRVS/64y3jPpLS9mJsL6LCqVLB8aX03fUj0oz02QYDDBYfVe1mX4UhiSRARRRRDSWjCdYJ\nPk4WTY1LQXeDsEJANZrZKc2uH890o6UXBanHic0LmCvslN+vy58ukqjGkPa0SGqiKKrC6B5mB7qR\nVCKo1NIUaEdWhdfJjX5v6uhGeHJhNV40s+hmGEhWIT/OPbHcc4EKq1xZkZDygrpTRNW00HAKqBZk\nsRVZQp36Bq/a/nUHLeMHD0z7CKzDGcy2C4BBxJjLwinbYa5lHWOyC1WzJc39AcCypE2V3lbeMFl7\nDFIza1kCVotLcuwIfPiEFoApJGkjSiR2mAR2JRZYxckA1qxZk/pnPvzww6lvM+vIyeoQMEgZQBIb\nql4wTF1ts9lEvV5HsVjEHi96EZ56ensg5R/4r1T0qilUSxRc7VkUlqxKgIAG1mn5ZRM0iUmi2p4c\nIXWlNcvEXLu1KY2NC62loxZh0XVtXAAGmFvVG0ZU9XS/HjWOKnaiz1Wjr0mIalRUtdv0f9pEtZdo\nalyELwmiyJ7eCjQsK6DfdNH29GOaq1rRdsU/0CatwnCJalxr1yhEvRZnGdUtSe2JoCpQSSogSSlF\nKi3HgGEI1waK9o3UepIrBnOLmShjIAQDmIy+mkyAc6+zlKpttYXUrxYMDlsYXgV/SHcroK0vD9GF\nSosp4bOdI30qVfnTY/Uybdnek1pdoFT0H2/1OkehwGDbAsWibAZgMMAWnj5VcKlbdfdzgjai1IEp\nqo3oSiKVo0A/BVY5/MjJ6pCgkj963M8dphAC9Xo9kQ1VP+Md1F2wrqudmZlxO4O85MXr8cdtz3jr\nahO8TlQ9n0OZyrN4IbQ4Yqlt7t+JqC02ZSGVHqFbahaCUVbLxOqK5UZQ1W37zf3bE2ybtAotCgR4\n+rayKcce1tmmk6es2fZTTYo4CUAY0iaqPoKTZJ0+o6nytYjq/ghCGlivQ7V9sBDQX7CkvkeNqgJe\nNFU9zmfNRTDwjr9N0mh5R0/TCNIql0WvH1juyguU/R1yA/wQexnU6vwwkiofm+55pp8btsOgN75o\nOQyP7ZjBi+eWYTDevgFot0KFYgOn3MRRO1SLSx/ZguHXBdftdhMSm4dW2wsBtNqeqLp+VR2re8PL\nmU+K4xt/2yu1VpfZEnrufY6UItg2b8sSOD7638J1zISkbURbrZZLYMNkBP0gj6zm6AU5WR0B+jlR\n9UhktxX+STHIi0kSXW2cNlVdRiBdGk38y3YFZdOLdhJRjQOR1KSotwysrtq+cfgjqV7an/6HkVRV\nKsCV6Kt8LSKi196Gp0sVvglPj/52i05aVfU1/fkwiWrSAirv9d5S/90QVPpMtbVnlIxFP6bdx4Jh\n2qyh3bAzkewiNrLagVx2XtaZ1PrWCyGo+r7/nXEIuABMyopwE5xLiyedpMZlS1T/UlUKYDCAA3j8\nhVXYc67WvpFrR2f16Gr7F+DCAAQU8iqnyIbjnyqj+qUcf+gSvnnXDBwu3EyGKvGJaiLSsuHaVRkG\nUG+KyCYAANBqcfC2RtW2ZUS1H1/VqDaiRF4dx3GjsGrkVZURTCo6aVbzyGo6yMnqkKCn1Q3DAOc8\nMdHUbajUSOSgQGNO60LkOA7q9Tosy0K1WkW5XI7cxDsGswAAIABJREFU9l4vXoc/bPsTAG/ydh8r\n5DWujWjdLstOTyHrqNEMPeUfhuWm6Ztkak2jXYlLqT0vUgJ4JFG2XJTvIaLq07T5NKfAdMlpv66R\noRAeohNVqc3zPkvVrIZNknpUtRM6eaomeU/gfxL7qhSiqb0gstOTenMSku5Xjf3DIqm6lEU/nqeM\nuktSgc7RbiD8+wZsobokqXGp/liCqpFTVQ7zADsEsnhJtAuQZCtRIqaAR05VkmpxU2o9Da6sR2l8\n+JoDEFo28503tI8ZhC96C7QJL4NbwKU+13HrrxnOeku0h6ksgmKuDMFRfgayugKYS3iJXDdb/u1Y\nlkDLEigUGOpNWUBVLhu+blW0jWbTxj++s/9jXgVjDKZp+uYoVULgOA5s23YLudToq2lGOxFMUmS1\nXq9jenp6yCNamcjJ6ojQjSbUsizUatIepRcbql6Rlm5V7ZxVqVQwPT2d6GK1z4t3x6PbnouNqAJy\nwtPTqQWDo+XEyyIWmyU/WYpwD1hqFtxJmgugZcntErFkLNiFCpATHWlFiaTq+lPv/cBU2WvD2mm3\nR0VUO60PRBO5bjpVJUn/B8hkBFHtRZ+atNK/G3TqNOVfN0hS5XohZvvae1XyRke0wWT01DvCe4sc\ny3WSk9Q4PWqsNCAighrlrHA/O1SSw/ZiyzF83Z306KnFTRjtdDwVKanvU3cDRVQd7hnzS12o99s8\n9tw0Nuwqi6EMxtvXCi+66nMdaBdtkiSA0LRlYSXv4GH6liMW8f/dOeOel3Sum4YXQbUdv5VVFEpF\nj+yqh6dlSQmAwwVsq/eIardQCSzNQ2GFXI1GI7KQa9IwKTZdg0ZOVkeEJEQwLRuqXtEvWe2lc5aO\nfV+8Gx554gW5PS0Cper6KGIiIFswqhGYMCw1g76pYYjqTFUtKd1vhBdFJVDKX9WtEfToqu0wTJW4\nR1wjosV6Oj+MqNI2uq3Wj0Jcp6pOOlXfOgmJatppfx1JbaXc9UN+i26IahRYm8wTOaVl8n/wu4aZ\n5cdJHCJ1pF2Q1I4EVYu8MgjfdgUzcB97hXtu2lya9jvCcImpLHzyoqdkPwXAV6TUcgxfJJRgO7Ko\nSk+ZW7aiQ3XQ/lyK6Bru59E2ZREb3LQ9IG80LcdEw5aRRdKSy2r7eLztKElYVbmO7Xj/5RjlTWqx\nKCv/pXRAVvkLLj1chZCtUwFJkh1DElRmAMIWaNRtOA5PParaDToVcqkSAppPLMvyRWDHmcRG+cau\n1E5do0JOVoeEbhwBukmXDxK9ktV+O2cFtqemUIX/sf6aGhWJwlICbeqSkvZXCWG9ZbTJoJciJIJJ\n1b5qREWdJB2hSgK8ybistGHVtahhCCOjHgmk7YQbyxN0khu3bvAzRCTpNMLW6ZKo9pL2TxPRlf+6\nNCMZUdUjqep//7L+dbhJSWongkrLAl6oIeszwQMH7r3G4QBkxoHS9EIwH0kVYIHoqeUYMI12K1LB\nfATVcoxAhoIIYMtmvkiqfE3RtHPgt0+UccCekmjSzaw8J731VOmM5RiJbmijYLWN/emGVSfUtG2V\nqKrjJTQaDjj3LK0AwLYEWi0Ox+FtrWq2yJ5KYFW5Gs1tgAzGqIVc4+pE0EnWMC7fI+vIyeqIEEYE\ndRuqpOnyQaEXsjoIycLGl6zBQ0/s9GlUveIl7z9d3ym6GhaJWWyWOhYcLTXDiTXpVKdK3E37S+mA\np10F4JtQafJXu9Vwd8zyjyYxt4MQ809cvhS+dji4Fj3tzwqLrIYdQmqXKxXqcz2qqj/W3zMsohpF\nUvvVqSYlqUA0UaVxhBHWqOe9yhv6KZrqJYoaSVDbuIcd6T1pv81pFyy5qXlu+EgokVPAi56qUVQq\ntKKqeZWotmxJdnUbKECSWLezk+09vv/xEl62V8u9mbW5gaLJwYXclsMN8PbNbsHgvjaoTcdsW0x1\njqwCwF+9ehHX/MSzEtS1qyQFsB1Pa95sCrD2naTlq/4XABgcLj1VHUfAshxwR+C8d48PGaIIpNp1\naZhOBMOEbdsDKX6eVORkdUiIi6ymkS4fBLohq9SUwHEcVKvVvpsS6PjfXjKH3/5xAUCwchqQc6PU\nhnr6s4ZTQNHwLKwWGsHUP0Ugl5rxp8Jy0who0KiAQtWfutsFLWcuKZXv9UdXp8o8IBMw4JFWb1n4\n79B1kRQRy5CfRieU6uOo9H+3RDVOlzoKotopXd+JqCZFqLY0Beut+LR+fKo/lqBq67nbUkgrIFP9\n1z5+DF62V6t9s+RvikF+w067KYLrX8qDJBXwyKnlyMIr05ApfcpKqBkJwLOJalkKmRXeDZq8kZRt\nSh0uj/vf/KGEAzfYKLQ7w9H2WrbhLqMx6r+LHaJNj8M7/8sSrrx1FUxTjsVon3jS7J+5LVJbVngR\npSRySnS5bf5Pnao+8a6uhjNyhEUhe3Ui6FTINSxERVYXFhZyJ4AUkZPVEYEx5hYeDdqGqlckIauD\nakoQhgM3zOKBPy6GRlVVSUDLKbiEdblV8qXfw9CJqC7VPRudStHTlto83FdVjsn7r0dSAUl4p8s8\nMoJK3ytKe+ra4miRVXUbPVlWhRRVxZFY9XOSEtV4wqoVByUgqr0gLZKqR1UJceS5G2lDb9rTzlHU\nbggq446/EQFjuObx/90jh1zgN38o4eV7W64Ex2RedFn1G262I5oUQQ21qrI9DarawlSHp/0M/i62\nI/WgQsBnlO++zg3YHCia3EeWZZRWGXd77LWmgalyb4VM7zp2Cf/6w1XSCUCJotq2gGFIoqoebs0m\nd3WqKlotuZwKqv7pr9M7H7KGTk4EnPPYlrLDDPZEkdX5+XnMzs4ObRwrHTlZHQEo7WHbNgqFwlBs\nqHpBHFkddFOCKLjtVcPS/4L5WjICkPo3RyORynVlSbOk0lFreO0ZK2XuRXSJjCJIUOkxpRbpuVps\nNVUWPpmA+n4OJWKaEu+PK7iKei0qwhoabY2zoIojsRHR1MA2OxBVXRMa9XonhJFUIDqaysAjCau+\nnu/5kEhqWJq/I0Ftv49xrbEGM3D1H/889PvJyCVr30QBVpuE0jlptKOrrnOG4TloyFakXgRVEllV\nKiCr/U3F3spWhiZdAIiYymX03+ECjuNFVwFJGH/7GMOBewu34xUM5fwV9F6vLSoQToq7AbVDNUzm\nWliRNMBqW1SR8T+NlSDJkHCX12oWkPCYzhL6sa2KIrCjbikbR1bn5uZS/7xJRfYY0goFHcyk6RRC\nuH6pWUUYWR1WU4IovHyvadz7mNTEksGPz69SsEAv8ShEaVPd1+te6r/aTteT3YwqCeDcn3YEPAsd\nr2WmR3iqSoRGJVGBdC/zNKju+trzXqBKB8JIaFhUNWz9MNN/lYQmqfj3tp1OIVVSUhp4X8xOjUv7\nR0dWw6NwaZHUXqOoRFB9r3PHJbGM2z7NrWAGrn3q/5CZhHZzJIfLaCpFVnm7OOjuhw0cvL+A0R6D\nWuRIKXUipmQ3RdX/XHjfwXIYDEP+99lW2cGGGo1W0AmAc6kDNQwG2/YkAPI1jwze/aDAyzcaKBgC\nLdtwbywB7zxrWPJ1+R0Y/uvLltEL3vOaJVz+g2mYhiSsQsh2rYWCooltcnds6ncBAMvibaIvxk6n\nOkh060QQ5gXbb5OeKOQNAdJFTlaHBMdxsLi46Go6AaDVSibUHyVUXS0RbcMwRhoNPnjvKdzzh2hT\nbgBo2Gak/ygHc4ulorDc8C5+UxWPNNBk6XAlEgPSxoVvUJ1giagGdKpKKj9qzHFp/cgoJ4tYJ+Jx\n+DaCWtN+iWoSfeqw0CtRBaJJaWC9HkhqfIEUx26P/RLP732ku70kBFWNnhrcAeM2DG57+4AZ+Oqf\nNgPwopGG4S9SElySPyKpVPHucCKjnnxFr84n+YyhRE0pyqiSBikFkOu0bOZ2d1Jfd9PpDtzoKdAu\nHGQyWqkS1ZbFYRp08yi3fc/vHLxso4mCCV/3K5MJV5/arU41CpzLCJzjCND9PRFUQ7tY6R6qhsHa\nelUBqxVsJT0uGEZDgCgnAlVCkLYTQa5ZHTxysjokGIaBYrHoajoty+q60n7YoMgq+b0KIUbi9xqG\nl28o4jd/tLyoakgb05ZjoGRyOfEok+Zi3fSlFFUs1Q3MTnHMTvlJiFpERaSUokKyitgvD6D3kNdq\npcRjq/yB6BS2DjW6mqQhQDcwEJ7yB0II1xCI6qDsqYB4kpoW0iapu/9xqyfGBLDrY1tBzEcwBhgF\nCMawvPu+PoJaXnpOHZTnN8uYJKjPvQ7kASor1WX63DD8RNBxvGOY/tuOgOS/Avc8KHDoAQY4l5FK\n/eeTRFX+p4xEq01MJdH1zqWWol212t2oVI9iy5Zjo+Il9zMcAcv2iqvUMds2pY0FCgUDQgj85kEb\nggscemDRJd6WUgBG0d1Gqz+Z0/teX8Onv1NFwWTumOQ+F4AjYFvyxsCVMiiFVa2WA4MxWC1n7Iqq\nsoIwLWu/LWU7tVrNZQDpISerQ4JhGKhUvP70aXWHGiQomjpqv9cwyP0XPpaWbYLMvR1tvEsNObFz\nzcNxqS4vYjpJlev6i6MAuCl+zv0m/mq6n9aTRNX/Xv93IWlBeGSVJjWKrqrbUiUJUYjzV1XX6Sb9\nP85ENSlJ7aXqH+j8XaKq+3WSqj7fbdtdgNqZijHAMHwRUbXF0fRzj/nXYYYkqIzh+vrxACTZkxFI\nuERVLpdElbG2cb0j2pFPj/g5XLjDkRO+95gIqWfu7w1bni8eAaRoq2XL1L/dTv3T+UvkmSCELEhS\nOUfLaqfHPcMCuV6LB85bGoN8Hwd3hCsN2HpPEx87ycZ/3rsKgD9T0rQMvHbj06jV+rNT4o4AZ54E\ngNwAiJg2mxxGu4jKcC2sHNcRQNpaZXveiEPWWq3221I2DgsLC9h3330H/RUmBjlZHRGyTFbJpaDR\naMAwDKxevTpTFxhA7r+955bxh51yYlG1ikXT80dsWAZsLidAVVsKyEms1vTfaau2VDRBe8VRXvRU\nL5gCPAN0WocLuBXEcT+1EHJC1klMlBtAlG416ieK2o6e3qdlUa+r6X963omoRksPhp/67yaS2g1R\njS1eiyCpSfWouzx9n7cNZsjidLPd5tJHVP3kVRgFGUE1TNzQeL0b4QckASV4RFWSCM5lVJKOf7vd\nRYlS/kIAp72xCQC48HrPQ9lpnwiCC2z9TQuHHlSGaQj3/PHW8/YrRU7Jb1RN/ZO2lcard30DSJrg\nX0jyHMeR5JULL+rrOMJ3cye4nyh+7CS5Y/7i4CWEQYjp2ChcUgLrOEIhn9KOyjQZLKVtKncEbJsH\n5ohmwwaQHceYbpE1shqGqJayUU4E1ASHorZ0DOSR1XTBOhCmbLKpMUWz2XQfc84xPz+PNWvWjHBE\nfuh+r4VCAc1mM5P2G0II7NixA2vWrMHWR2VIiLrROIKhbhVkZJUjlKwyJtP4KlmdrgSjqm6FvmhH\nUd0UqOcnSf6NBIcDxYII6Ox0kG7PMLz3G1oUVNefelpR7zXV3N+3vB2F9fmh+tYVgcIqdZm+nm5R\nNWiimlZktZ90fxhp7USu0yia2mX7b9t3RO311bR9e1LUI6bCMAFm4DvN17k3S1TJTilxegx4BVNk\nSm/bMqVO0VS3A1s7mkokNQyf+HezTWglOeRC4IhDqr4bK3qsmuO7FmztGz2phYWbDievVZWstiz5\n32BAyxK+m0Yat9SqymIk0okSYSXyTSTV4RwfeXvTLcAhzWMSUqVH4ehxXBr5gq+XUCj4C4J8UgWL\ndO2iTYQcl1if/7ej99/uB6QTVZsCjCvUzGOhUADnHP/5n/+Js846CwcffDCmp6fxyle+EieccAL2\n3Xff1Ej62WefjRtuuAGGYWDdunW4+uqrsccee6Sy7YwgdEflZHWIoBMV8JOtUd9p6u1Rp6amYJom\nbNvG8vJyZkXiL7zwAmZnZ9FqtXDvUyXpDsBllyvLMdCyzViyWmuwNpmTyyolInReRMhNZZKOTCGr\ngD7xyv/FgvClLqN+Xp2sqoRTvk7v91L/qgyAMaFV9nvL1XXDyKquS1WJKpTH3RLV8HR/OFFVx6oj\nC0S1W/RDUunxmucektuhAy6KmCoE9futzb7WotKhwiN/AHw3WpbljbHV1kk6bQkAVfqrBVSnHh9N\nUuPwja1Tvt9X7dCmZiHoZo+snOgxFV6RRFclpVT4Ra+R5ZMQXjV9q8Xb2xduut80WZuAU5tS4Jx3\neISTKsm9MXsEVv4cncliFIGliN2nvjULw2QuAVWL1FotxyOvXIALAYMxl7Be9PfjnQxtNptgjKFU\n6tzyehxg27YrkwNkEGrbtm245557cM0118C2bTz88MNYWFjAK17xChx++OF4y1vegle/+tU9f+bS\n0hJWrZIZxX/+53/GAw88gH/5l39J5ftkBKEX7fE+8scYoyaohLj2qFmWKtC4FhcXUSqVpP9qB22m\nusuX6sy3DhFVIFjVr06SYSQV8LiFjNjqY40eBz0O06z6UpYhESrpMSt8n6cS1U7QC6jUbejRVd/y\nMSCqwyKpSVuixkVRGQRWv/AH+Rql+g3TLYKSEdM2WTVMcKMIts9h+M97Z312akKRqQBey1Hivrp+\nk4iqnvYPS/n3grccWcN1d06541P3ktHWyDKm6ljh6mRpXESy6eZPtXWiwi+V9J28RbqEXPy/Si7p\nY8oJQhX1dP04+ySZVterxuk/EVha5jhORwLbKY0MeGMmUEcqFeRYYFsOuMNx8Xv7b12dI13osgbD\nMLBhwwZs2LABX/va1/DlL38Z69atw3PPPYe77roLv/71rzE/P9/XZxJRBYDl5eVMdLscBnKyOkTo\n5I+ej4K42raNer0e2x41i2RVtdACJMEulUp45Ubg5w+RPlSSvoLB0bCCpv9L9WAvca7wqLBiKNL8\nqXOMGu2hCblSFL736aAIiv4ZLhGFXCGM9Aa35f8Q+ZnRXa/0qKq7HNEEVb4uhkZU+8VQKvxDftxe\nUv0MArM7/9gmqQyCUVW/ARjtx4YJzkyUDjgagCRQzXodvNHAGw5h+NY9Mz4nCjoWW7ZSmKfdWLWU\nnvPUPYnS6V60U+CMN/VvrXfCUTV89fYpmIb/nFDJqeo6AMCVJKg3a7aSJnejxY7f6/WUN3jEWiV+\nlFZXs1q2JUlrs9l0CSQRTPWPSKzq3RlFYNVq8zgC++ETWvinrxRgmMyVIjCXjHM4Dge3uSJt4KFd\nuMYRtJ9WCuLm78XFRVezuttuu2Hz5s3YvHlzKp/70Y9+FF/+8pcxNzeHW265JZVtZh25DGCIIEE+\nYX5+HtPT00P1K1Xbo3aq8M+SVAGAz0KrWq2iVqth1apVvv3304fkIct5W7vaMl0ZgBDAwrKsOiYy\nyBhQMBFpZaVbUqnaOdIBEgGtlqNJogqSHpDcIJD2V+QASaUAugygkwSAlpEjgk5W1fS/3oFqGES1\n2+jqoElq1Hi6TfXT8pnFp/wdophXtc+ZiU/++tWo1Syc927qoCaJVavVQrlcdm8ur7tzqv063P+q\nzZo0yCeyJZfTJYiq/4nYkT41LaKq4tqfTgUspuRne4SaZAsqAaAqf/peRKip8IvGrksVzv2aCdvm\n3nYcAct22jJgmV6/8D1+IkqFU/QHBAmsrmXVyStti9ZRDetVkvbxaw2YhgGHczeSDcgoKjO8lqq2\nJcfxj/+j5WpfB92RaZBoNBq+iPO4I07W8PrXvx4//vGPeyLnmzdvxvbt293ndEyde+65OP74493l\nF154Ier1Oj7+8Y/3NP6MItesjho6WV1YWEC1Wh3Kiau3R61UKolOohdeeGHkZJVzjlqtFrDQmp+f\nd31fVfzkwfbEK6SG9fmlIpqWF7lRyWqtITA7LdsqAn69H+BNklwhpYBfBsA5UC61K/pjiJihEFOV\nrHrP249DtKtEVuMKrDqR1TBiGhZVzYlq/Dh6TfUzITC9/CyY8EiqYDLdLwwTn7n3VQCAel2+fvZJ\ncjuWZbnOHNVqNXDefvX2YKrdcfw6a5WsthTNqm2LdnTTq55Pm6iq+PJPJLlWNalSguARZoq2qlpO\nKpryvp9nVRUmVSCySutKMim1q7bl4KK/j9dM9ktgVfLKuX4OyPX/4RoThaIB2+JgBoPVtMEMWQxG\nJJU7HIILXPL+Yvu7eBpYAKFFXFkmsNT5MIvtxXtBFFkVQmDLli34yU9+MtDf44knnsCWLVtw7733\nDuwzRoBcszpqjCLN3m971FFKFXSCPTc35xtH1Jj+ywHAbb/zXls95eDZ+eB3Xq57kU09gqpGUglq\nNbXag5y4A6XhdfiLTKIlAGGeqfpzvZNVMGqbNLrrJ5dMIbKR64RU/cc/7i31T+SzE2kdBEmN+8xe\noqjUWapaf8FdnxtFCMOEMEx87r6jpY+pQ0V9on3OOuBcTu6cc1QqlcibWscBHHgV9ICn9ZSEyx+Z\nJBD5o8p5wRHQTaaNd/wXKd+58taq23nKNL0bST2DQWSVNJ40vk7E2mk3KrBsIn0CTpv4Jcmoq12Q\nVN2pSmBbrZZLYIkw0p/uwxlGYLkw3O9D5NS2PLsqIqrn/T+eu0CYLGHQLUVzRKOTrGEQ+/2RRx7B\n/vvvDwD45je/iQMPPDD1z8gicrI6QgySrKbVHnUUulVyJ6jVarEEO25szy8VsWba8kUgwzBdZW46\nVG7TKzaRY/GnVYH2RKkUVJUUDqEPhwqhwsZA3a/ofapulQhQVJGVfO4vsNJfD4NPFoAgIaX/hh5N\nDSGqgQhjyhpVwViAPKZNUDsR4k5RVFoWFkWttBak/lhwSU6Zgcr+R/i2x+8RLrHkSiTQcTiWlmoo\nlUqYmpqKnfT++zE1fPknU64VleMSu/BjgoqoDIPJx4Kq5YGz/tLCMPCuY+u+5/9yY9V97PqfCrV4\nzJMEJIn+NhqyK5VhMtg2h9HeCY4jcOnJvdkmhRFYAAHv1Uaj4ZLGOAJrNZuwDS6vN0r0V9p/yWPg\n06eWUa/XQwMdvbYUHSWBHQef1W4Q9X0GOWd+6EMfwkMPPQTDMLDXXnvhiiuuGNhnZQk5WR0ihhVZ\nTbM96rDJKhFsxlhHgh03tv/7yBZ+eL/RXg/YbdbB9h3eRLG07PXnppQk0K6aZn7SqUZShfBHf6pK\n9kdtKBCGTtX9cevQ91DHZGg6W1XT6i6LUPIkTf+rqX4VG160S/iXTIinn3km0XrDJqdANEFVX4uK\nohrCQdGue+9hDOX9N0V+FhnES/2lfE+zaePsk5qoVlcl1rt5N1ceUaUUu+3AjSi62khHwOB+g/ph\nEdUw/N1xHnmlG+1Go4FisYhKpdL19eu8dxs4619tGXKGjFz2Q1TjQFHMbgnsRX9fwAcvt9FyvAIw\numHhQuDS9xdhtX3G6L+a6g87NqJaipJ8gCLCOoHtpRtXL1hpZDUKjUbDtbNKG9dff/1Atpt15GR1\nhEibCDqOg3q9DsuyMDU1FVrh3y2GRVYdx0GtVoPjOIkJdqex7awVMDvV1pkZArvPcfxpp4HFZRmN\nJNNxwPtvKBo5Ios6UaX0arHglw7IMXUmrX5y2jm6Gva+qIitEAxwC7eCqf4ouypax9BeF2DYZ336\nPrsvaptYU7c027ZRqVTw/AsvdHhncnSjfe2WoAKAIRw3zV/gLS+KCgZ77UZwzmGaputfHNZjnFLx\n5PtJ/prT09Ndfdf/8ec1fOGHcnJUswGuab7SjtS1RGp/HhfA/zzBDtvs0OE4DhqNBjjnmJqa6kvb\naDDmpv5bLafzG1JEFIFVW3g2m038wzs4PnZlEYJ7vqqf++AqtxAWAKampmAYhi9qCvhdCOIILGMs\nsB/jCGw/7WQnDVHke+fOnZlspjPOyMnqEDGoyKpa4V+pVDA9PZ3aBWbQZFV3J1i1alVqY3c4wwuL\nBaxZJSdigwnsMsuxXJfbn6qyANHU/VMplaqSVIJpepFQVV8XpUnVERZdFULa+qhElwvA0CypwiKr\n8jsEl4V7zgajqoT91s+EDzhFkNSj2WyiWCxiZmYGjDGXxKqIi8L248kaFjFOGkU1uOM+BwABA6v2\nOci3LVXfSOSECCz9OY6M9FExEGPAJ//f3gou//Y1dVxxU9XVeEZpM93OTRkiqlFuB/1AtiZtRywd\njn8+o7sbgLSh604BObZLT/YXcS0sLACAWzUf1os+qoiLNLRqF65uCGwa7WTjsNIiq1HfZ2FhIW+1\nmjJysjpCyF7cvPOKEdDbo65evTp1D7tBkdU0xt5pbEQ8n1soYM0qirACL9oN2P68Z5ujgoYQXvDh\npViJ6EYRU5106lHQsOgqLTNCtqmT0DgtbBRUBwAdB+w5lXg7/YI8fhljmJ6e7ljwF0VgeyWq/aT5\n6TUGgTOuWYtWo4Vrzl0X/jltQqCTE7VA59Tj67j4f82C83YveC7T8r0SAr1iXn4m3AIq7xiWn/OR\ntw834hgGOh4Mw8CqVcmlD51w6cllnPLpeiaIahTUY4T2g2maKJVK7rFCfeh17Sv9EToRWMCTEUQR\nWH2bnQhsWDvZSULU/DM/P5/Zzo/jipysjhC9klW9PWq3Ff7dIG2ymubYO43NsqWHKgBs32Fi7ZyM\nhhVMYNc5A7WGOi753wmZu1XrH86BSpn5XAB0namOKE2q+hoRVpIRGMyTAhghxDRJMZUKr7OVn/ge\n+OJK8o30CTXlX61WUSgUep7gwggsADzz9NOhy3uJourrzL1kf9/7W43tsJrd6TyJKBABmZqa8nrB\n2xzn/LWNWs0JRGCTEoL3vb6By74jo7WUEfCKd/xkddRENc3jIQqXnToY3WCaoBt3suYLc33QbbTo\n+NGJ6zAJrCppUNvJRhFYOvZWCqmN+z45WU0fuc/qEEFEjWBZFur1elfaFrV7U5jHaNqgdm5piMXT\nHnuj0YDjOLH6vmt/WoZtA4WCJKK7z3HXN7VpScJKp4B6Kvg7VUmiWjA9/1XGPLKqXqtUL1V3PWUZ\nmfirrwNSU6tum7ZFelbVaxWAz0dV9VkN81hW4zJDAAAgAElEQVQ1mT/df8iG4RpyqyneUqkU24hi\nGNj+9FM+EgrI/bf7+pcM9HNV6UOn/aCTAbXNZxICe8kNJdBXdMlqWx4gBPDR/zY6oppGAdVKAc0B\nveyHMB/YKAKr+8ACnuaV/lTEEdiosaiaWhqLSmANw0Cj0fC1Cx1nCCGwvLwc+n2uv/56LCws4JRT\nThnByMYeoSdBHlkdIbqJWiZpjzoIpBFZVYunhjl2+dmS/DWaUlu0/QUDu81xMAYUCwLVMkO9GU1U\ngXZ0IeKaTRFW/evESQT0SKzq0+ojuvCkAVwAZogmNgwqUVWJ8aF7Dfd0F0LAtm3X0D7NFG8/WPei\n9UP/zG6lD6q+sVyWkdJuLJLI2umCrxdckgpI4krNBkYBKgIFkGg/rFSQVr+fQrIomYl+nDiOE0pg\n9eIvwE9gaTu0XZX0xrWT1cdCfxSooQCI7kQwbojT3+7cuRNr1qwZ8ohWNnKyOkT0UmA1yAKkJOiH\nrFKar9lsolKppD72ZPvP/9x2BJ55nmHdLgIGEygWAIC5Ha6EQiTDClR8hVA8uFwWQ2ljENHaVW+d\noCsAyQCEQLu3emeNqqEQXMJhew9/IlCruuMM7Vc6dLeDfmzkerFIOv1NySUEg8QgCqjGEWpUOYmH\nbrdIqjvthsDqLWUB+CL9SQksdSKsVqtu5JXGQlFcvYhrXI+RxcVF7LPPPqMexopCTlZHiDiypXdv\nGkTxVBL0oqtVu2YNqvCLxtaRrLZte1qWTLXTsm3PMqzfXZI62WqVoQm4fchV0ur/zOjPCot6hlX8\n0xgAv5NA2DYEJIkN624VBSq+2rRvsvXThKq/m3RSEuZ2kDaSElhat1AoRLYJHRQGVUA1bhhVVLkf\nAhvWdID+RxFYNVKq/tbqa/pyvRuXSmCz2k42LrI6Pz+fuwGkjJysDhkqwaLH6kGvEr1e2qMOcryd\noHbNMk2z565ZaY7NtoWvEEqOU6ZD//g08JI9mEtYuWBuC0haT0cYsVSLrQgUYQ1P/bP2+IX2Hr8r\ngG6LFb8v5PY4GA7adUfb37O74px+oEaMCoXCRJMSkj4Ao0l1dyKwapvQTn3u+4FeQDWp0fUsRpW7\nIbDquvSnX9d18krHl2qlFXWtDuvGFUZgs9ZONo6s5tZV6SMnqyOEXimZRnvUtJGUrOpds0qlUsf3\npIGOZNUBTNLsGcy186H/f9gmsGG9JFUFU8BgDDaTTgLeZ3iPO10TRduySl+mElx1O6psoFPUFiz4\nWH39VftTJ5zZjv6eaRJYNWLUr5H7OINzjmazCcuy+k75p41hEthhRZXHAeMUVU5CYJvNZlcEViec\ngNeNSy3gCpMQ6ASWthnWTjYrBJawsLCQuwGkjMmcVUYInfwxxnxas37bo6aNjl6mStesarU61Erv\nJJ/zvte38NnvSeJMldCcC9jkQcmBh/9gQwiB/feW6xmGNPwP06XqiIuuqq8Dwc5WYRpUPbrqf00W\nWenLj9noN3WP8/e0bTugbew1NZymHnOcoVe3jws5GwSBzQuoJFQ5zDifG50ILBVORR0n1Hmr1Wqh\nWCy6QQwismER2LhmBmHFWFEEdtDtZDvJAPICq3SRk9URgjQ+y8vLqbVHTRtRZFXX1M7NzQ197Emj\nvo4j0GxxmAZziSUA2JZoV6wLFAoMD/6+iY37ysrrgumtRzrWbr9enM40Tt/KBYPZJqxgnm7Vt20w\n/J8HtJAUYQQ2KTEJ6zWeR84kVho50wkspWM7HSeGYaDZbE78jQvg2VGtVDlMFIENO07o+lwsFl0f\nXXo/od9uXGEElsYS1k42LQIbR1aXl5cxMzP4ToCThJysDhlUsEQV/mRlM6y0ebfQCWGWNLXdkFXT\nYG7hFBfCbTlJaLXkhfJ3Dzfw0o0VlziSZRUR17iPo+hqoEgqLPWvRFc5hE/f6tumsi41B3jNgc2O\n3zkJeiEmjDE0m00YhrEiyFmvWCmRs05QSULUcUKuD4A8TijCFXajs5IxyRpdPW1vWRZs23ZJapII\nbJoElm7OVXTqxqU7EXRC3NxDxDhHesjJ6pDRaDSwtLTkVskvLy+PekixUAkhaWoZY5nQ1CYrsLIh\nhBynSlKpL7ptcd8dsm1z3HPfEgDg4IOk2bNpBO2qEtachXa3iqr8V5fRfzL8FwJ47cvSIalRiCIm\nanpNrQZuNpuRxuMrFXrKfyVGzjpBlQCQdyZ1oOolUj/uGFcZyCCg+sdOT0+HzhFhGZ0ov+AoAkt/\ngN+FoBOBTVJU1k072bBl/fqS5whHTlaHDNP0txjtx8d0GKDxLS4uwnGczGlqgfB0jBq9tqwSDJNB\ncL8GldpcApKkymhRu+WpI3DXbxbAbY7DDpNVnYzJyCnn0ZKAuOiq+jxMIhBGXv/ryxsYNSzL8nWf\nAoL2SFG+jVk6TvpFXkgmoXfiUr1Ce5EQjDOBTcPcfyWgG//YXvyCe4nA9ktg9XayOoHlnMf+3ivp\n2pcFTOaZNUKUSiXYtlcQk2WySibOAFz9VZZOwKi72kajgUaj4frTfuitHBd83UCzydukVbhuAERS\nibgyg8G2ObhNFz2BrVt34NKTy/jKz6cAeIVUYfazYXOuTkyD7gAMUFqpAsAbDh0tSe3UfapThELv\nXU5FXKM2p+8FuXesh240ukkkBHHV5VkmsCphn/RjQo+m9iIN6kRgO7mapC0hoG3rGSadwNJzwzDw\n4IMPYs899xyZJ/pKB+tAlLLJosYYdKATKK1erVZHOCo/dMLXaDQwNzeXyRNwx44dWL16teuqQB6v\nU1NTvgvYuV9jaLU4TFPaV3FHgAvqGCXAubeM29yt3OcOx6feX/F95ld+PhVKVAnqbqL5y9Cq+N0U\nf9sf1WDA/3V4va99kRZUHSKld3uBSkrU3uWDstBKG7p3bKVSyeQ5MAwMUqOr3+jQX1YJrErYq9Xq\nROu21WjqMJxger2mRBFYFfSepMdYrVZzi8Y45/i7v/s7fO9738Nuu+2GYrGId73rXTj88MNx+OGH\nY/fdd09tH1xyySX44Ac/iOeeew677LJLatvNEEIPojyyOmToJ3OWIqsULajX6z65AlVSZhGMMTcC\nKITA9PS07+7cmwjN9nP4iqtsm8Nx2jrMdjSVC+CS90YXvJ30qpr7+NqfTvlei7vOUURVPQTecmQt\n+g1DRtoRxDgLrWF5wPYKIiRkJzfJ6V3yCh1UdXu//p7DIrCquf9KLqpLAjXrNuxuXP1cU+IisKo+\nX5W1xBFY9bi98sorYds2fvazn+Hiiy/G888/jwsuuAB33XUXZmdnccQRR+DrX/96X9eSbdu24aab\nbsJee+3V8zbGFZN5Bc4Q6K5s1KCoJIAA4csSoVZBaZjl5eWAx6uatgEAxzFgGAzNpg3TMGDZDoQA\nbMsBa+foebt5wKUnlxOP4b8fkx2y2SuG2X1qWB6wvSKL3YZGhVHqMXshsPqxkiaIsJumOZFFdYQs\nyh+6IbBhunqdwAKe5lXvyAV4BDasVqJQKGDNmjU48MADcfHFF7vb/MMf/oAHHnig73PotNNOw0UX\nXYQ3vvGNfW1nHJGT1RFj1ETQcRzUajU4joNqtRp58ckSWVVlCowxrFq1KhBNpYsNEZyzT+I4+xrZ\nEADg4I5wI6qkVw1L+a90ZKFoKE0P2F4xjAjiuCCugGqUSFrNnWaxH/lJT6IdlY5x8hTuRGDDdPXq\nn66dpf8UhZUuM8KV9KnH186dO33dqwzDwH777Yf99tuvr+/0rW99Cy95yUtw8MEH97WdcUVOVoeM\nMBnAKCKrarV8pVKJLZ4aNaEmhMkUVOsvPZqqR+LcdD9XZAAWpYIELjs1O7rhQSPr3ad6NafvhcCq\nGt1JTvkD/vagWSckwOAIrHrzMul2VFmMpvaCfglsoVBwAyV080IdulQd7F133YWFhYWexrh582Zs\n377dNz7GGD7xiU/gvPPOw0033eR7bZIwuVfljGDYRFA19Sev106TexYuTLZto1arBXSptP9IaE/L\n1DFTmluIQtsJgMNxBASfrJMdGN/uU3EesHpaOCkpyVP+HlZSk4N+CSxFU/Obl/GKpvaCKAIbdqzQ\nXGMYRug50mw2cdFFF+FnP/sZzj333J7Go5JRFffddx8ee+wxHHrooRBCYNu2bTjiiCNw5513Yu3a\ntT191rhhcs/CEUGfAAzDGApZJcJG1fLddJ4aZWSVhPyWZQVa0lK0jYhXWFSNiq8AwGp76hNHtW1P\nh/SZ0/yFUisRFClijK2IiacfUkKR5TzlPxmG9t0cK0DQL3Yl7pM4TPKNnH6s0I0ceU0DshnG9773\nPXz0ox/FIYccgv322w8/+MEP8Fd/9Ve45ZZbUr+evPzlL8czzzzjPt9nn33w61//GmvWrEn1c7KM\n3LpqBFCr6znnmJ+fH+hBp0YlydS/GywvL8M0TVQqw9Nz6vZZ1Wo1EC2lCca27YCFiWEYsG3bpzVj\njOH0f24q7+cQXMC2HPzLh2aH9t2GDb0NJNmtTApUUkJFXABWhAdsP0jLomwlQHV/oMYXanp4pTe8\nUEH7giwVJ/VGDvBqOgzDCOwLy7Jw//3349/+7d9w9913o9ls4qGHHsLatWtxxBFH4IgjjsCWLVsG\nojHdd999sXXr1ty6KsfwMMioJV10wqKS3WCYkVVVl1ooFAIRYF2XWiwW3btd0plRRIBAOiRK8QFS\nv8rbtlUrlaiq0ZFSqbRio2adQPIBurGhSJFKYLNqoTUITHLUTEeSfTHoIq6sILfm8pBkXzz++OP4\n6Ec/iuOOOw6f+cxn3HbDDz30EH7961/jV7/6FR5++OGBkNVHH3009W1mHXlkdQRQI6tCCOzYsQNr\n1qxJ1WS7Xq+7gng9KtktVL/JQcK2bbdgSo8AdyqeUtOZpmn6xO+6ifT//Ly8O3Ycjs+csfIijXr3\nqUmPjtBx0WlfjHsTgyRQC6gm/bjoZ19ENTIYVwIbF0GcNHTaF5xzfPGLX8T111+Pyy+/HIcccsiI\nRrpikUdWswI1UkmkKw1dlFo8VSwWU2v7NmjHgrgIcCeSqr4/zMA9rKrctmWlJudyf9GFaRwnGR15\nateD6hNK0ZE4ZN0Dth/oUpBJtmBSi8l6lcV00sDath1bWZ6VYyWPpnpQi0+j9sW2bdtw8sknY9Om\nTfjRj37kZvVyDB55ZHUEsCzLR/527tyJmZmZvgpeKHXOGEu9grXZbMKyLKxatSq1bQKdI8Bhfqkq\n0rJfiouSqIQkyxG1tLtPjTN0+UPabSDDjhVgcB6w/UAvoKpUKhN7XADy2ksSo2G0z42K1meBwOZR\ndg+633RYNPWrX/0qrrrqKnz605/Gn/3Zn41imJOCPLKaFaTZcpWKp8hmZRB3xmlrVukOtlaroVgs\ndtSlhqX8iYykUcEcFSUZh7agw+w+NQ5QJ+BB7YthesD2g5VuO9QN6MbWcZyh2lH16+05iGvLSrIp\n6xdJPGS3b9+OU089Ffvuuy9+9KMfoVqdHD/uLCEnqxlAL2l21dRfbzU6iPGlRVbVtq5hnac6kVS1\n7eEgJ+CkKWFgdIQkC92nsoJROh4MwgO2H+QFVB7Um7lSqdS3fj8NdEtg08zu5G1jPZAtIhB+MyeE\nwDe/+U1cdtll+OQnP4k///M/H/mxM8mY3NktQ+jGa1W3dEpLlxqHNMgqESsiE2nqUoeFbtuCDqpX\neda7Tw0TemvQrDgeDKqzUieoRYaTTkbGKbLcicD2m93RdbqTrlmm8yTqZu6FF17ABz7wAaxevRo3\n33wzZmdXpmPMOCHXrI4AdPEhJPEx1S2dqtXq0C6+juNgcXERc3NzXb83K7rUYWGQVcJ696lJ1x+q\nKf9KpZJpMhIF/XixbTuQEi4UCh0JSV5A5WGltAcNQy+OFSQVG5ZON8tQiy6npqZCo6k33ngjzjvv\nPJxzzjl4/etfv2KOnTFCrlnNKjpFLtXUudpqdFjoJbKq61L1CHCSlP+4tgVNWiXcTYRkpXWf6gcr\nqclBJ720mhKOkptkMbI8Kqi2QysxstxtBJauPZVKZUWR9m6hy0GmpqYC+2JhYQEf+chH0Gw28YMf\n/GClGu6PLfLI6gjAOXe76ADRPqZ04XUcJ5A6HybICzbpyauT67C+y510qeSLOa4Rs07oFCEhCQHp\nD1cCMesXkxxZjjpeAHkOlUolFIvFkRf8jQp50ZAflIWjCP1K9AxOiiTR1J/85Cc4++yz8cEPfhB/\n+Zd/ueL3ScaRR1azCr3ASi2eqlQqWLVqVSZOnk5esHHkultd6kr3CE2ifyWpiGEYvi5dWTgWho1J\njyyrx4veq5wx5h4z4+gB2y/yoiEPJLuybTs0UDAODidpgqzKisViaDS1Vqvh4x//OJ566il8+9vf\nxrp160Y00hydMLlndYZAaXa60MzPzwMAVq9enZnqVQCRUgAhBGq1GhYWFlAoFLB69WqfOwFdJDnn\nbtW0+p2InC8vL6NYLGLVqlUrmqhGQa38pUlkenoalUrFjbAuLi5icXERtVrNjbgOqxXuKEAVu7Va\nDeVyeSKJqgrLsrC4uAghBGZmZlCtVlGpVDA9PY3Z2VnMzMy4ve1brRaWlpawuLiI5eVlN/I4yAYf\nw4R6bFQqlVB/zEkCHRuMMczMzASuoXTDUy6XMTU1hZmZGczOzro6VtK2LiwsYGlpyQ2YUE3BOIHm\npEajgampqdB59Je//CXe8IY34KijjsL111+fOlF997vfjXXr1vk6XO3YsQPHHXccDjjgALzuda9z\n53oAOP/887Fx40YceOCBuPHGG1Mdy0pALgMYASidSWg2m77OOGGpilFjx44doX6oascsfbJQo6l0\noYjTpU5SWjcMSbpPdSrgIrI77tGR/NjwQ01ldpN10D1gs97EIAnyRgd+qB6yaWSkxr3tsBpNDTs2\nms0mzj//fNx333244oorsGHDhoGM46c//SlWrVqFd7zjHfjNb34DADjrrLOw66674swzz8SFF16I\nHTt24IILLsADDzyAk046Cb/85S+xbds2vPa1r8XDDz+cyf07BOQygCyC9JmO42BmZiazVbz6SUO6\n1LC7+G51qZMeLeum+9Q4NzBICjo2gOxbDg0aujVXWCozDlnzgO0Xuv5wEjMwKlRilpZcLEqiRMeM\n3nY4K9cYVQIRdWzce++9OP3003HiiSfiggsuGOgN2jHHHIPHH3/ct+yGG27AbbfdBgB45zvfiWOP\nPRYXXHABvvWtb+Htb387CoUC9t57b2zcuBF33nln3ilLwWSf6SMCaczq9bpLUDjnmSWqgCdVUHWp\nesespLpUih4m6de+kpFW96lOFcJZaGCQBJxzt7VvXiQzOJ3uqDxg+0G/pH2lYdiknbq2kYyAxqBf\nY0ZFYFV7rjBHDNu28elPfxq33XYbrr76amzcuHGg44nCs88+68oN9thjDzz77LMAgCeffBKvfOUr\n3fX23HNPPPnkkyMZY1aRk9URQAiBxcVFlEolzM3Nuen0rIPuWsOKvpL4pRIRWWneh71g0N2nVAIb\nNrmEtQQlCcGwfxc9rTvp9kujqGxPQmDD2oIm8YDtF+Nk7j9oJLFgGhb0tsPA8AlskmYHDz30EE49\n9VT8xV/8BW688cZMHT+TfJ3rFjlZHQEYYwGD/awK2IlIO44DxlisXyqR1Dhd6qRX646yyUFYT3t1\nciE5yjCjaTkR8ZBWpD0t9OsB2+8xo7aNzSPt4yGBSEpgad1+XCs6uUA4joN//dd/xQ033IDLL78c\nL3/5y9P5kn1g3bp12L59O9atW4dnnnkGa9euBSAjqU888YS73rZt27DnnnuOapiZRPaO9glBmNF+\n1myJVF0qRejogpDrUrtDFpscdBNNS5uM5L6YfowDEQEG3xaUoHYnGzVpHzWyFE3tBZ0IbFiWJ47A\nqjcxUdHUxx57DKeccgpe/epX44c//OHI5GZU4Eh44xvfiKuvvhpnnXUWrrnmGrzpTW9yl5900kk4\n7bTT8OSTT+KRRx7BUUcdNZIxZxXZvCJOAFSySidkVshqmC61Vqu5J16uS+0O4+QR2ksBlyof6HT8\nZi16OGqoE++4ymPiCKxt24F0cFw0Le9h74d6E5P1a0c36JXAAoiNpnLOce211+Laa6/FZZddhk2b\nNg3vS2k48cQTceutt+L555/Hhg0bcM455+BDH/oQ3vrWt+LKK6/EXnvtheuuuw4AcNBBB+GEE07A\nQQcdhGKxiMsvv3zsrgODRm5dNSLofoc7d+7EzMzMSC9GejMC1faDOlKVSqVcl5oQK6ktqI4w+ywg\nvoBrkpo+JIEaPaxWqyuetHc6Zij7UCqVJt6OSi8oU32rJwlqm2rbtt05k46Zm2++GYceeihe/OIX\n49lnn8Upp5yCl770pfinf/onVCqVEY8+R4/IrauyBP3CEyYLGBZUv9RSqRSqSwXgalf1NE2uS/VD\njZat1H7tYfpXNQKr6pyJiDiOg3K5PLETL2El38TEIeqYsSwLzWbTvc7QjXxWXSsGDWp2AOQ6bsMw\nXEmZYRiuBMJxHCwuLuILX/gC7r77bnf9N7zhDXj1q1+N559/HuvXr5+I82pSkEdWRwTbtt3IAgAs\nLCyMJO1FPaQZYwGtnJryVyUANHaqDKb/lUplYibeMOg63UmIlsWBc+7exNB+GEU1eVaQm9n7oWsx\nybWCzqOwphejttAaJNSb/jwz5d8fUbr25557DqeffjrWrl2LY445Bg888AB+9atfYevWrTBNE1u2\nbMGVV145om+Qo0fkkdUsY9iR1W79UlXSVSqV3JQu+cOSITOQbS/PQSFJ96lJgro/1B7l+g3PIKvJ\nswRVApHlAqphIc4FgjGGUqnkPs+6B2wayF0x/FD3R1imTgiB7373u/jkJz+JT3ziEzjuuOMC2ucn\nnngi9ypdQcgjqyMC6XAIy8vLME1z4DqbOF0q4BVGUASsW12qOqkQIVlJk4qObrpPTQJ6KRjS7ZBs\n24YQwleIM643PSuhgCpNpLU/dAJLesZxi9rn0VQ/kuyP+fl5nHXWWQCAyy67DGvWrBnFUHMMDqEn\nQE5WRwSdrJJFVLVaHcjn6bpUPUWt+6UCCJBYVZeq2lh1+tywSWXcI2l6VXulUhlLMpUWKHVbr9dT\n2R+dinFG1cCgG0xaAVUnDHp/jFtPe70xyKQfH6pWt1qtBqLLQgjcdttt+Id/+Ad8+MMfxpvf/OZM\n/I45UkcuA8gShlVgRaSqVqvBMAzMzMxE6lJpHPrYiJT1Yr2UxAqJbG3GJZI26O5T4wY15Z/W/ogq\nxqFo/SgaGCSFXkA16fZLw/LUHZYHbL/Io+1+qDf+UftjeXkZZ599Np577jl897vfxe677z6i0eYY\nFfLI6ojAOYdlWe5zmnynp6dT+wzql0wkopMutZNf6iCLp/RImm3b7uSTFSIyyu5TWcSoJ924VLB6\n3AyLiOQFVEFYlpVatD0tqB6wdOwk8YBNA1QrkEfbJfRmGGHR1F/84hf48Ic/jPe///048cQTJ/6c\nmgDkkdUsYZCRVVWXWq1WA1ZBnXSpo9BhdmoFqhZVDJuIZLH71KhBpGyUHYZ6aWBAhCRtIpIXyPiR\n5ehyWAQ2aUelXo/zvHWsH0m6cjUaDZx33nl48MEH8R//8R95+9EJRx5ZHRGIABGIDM3MzPS1zUaj\n4V4AhqVLHRbiNGk6gU0LavepMB3VpEGNhIxLd7KwSBqQDhEZdXQ5a1gp0WXdN7if4ybXLvvRKZoK\nAPfccw/OOOMM/PVf/zX+5m/+ZuL32YQhL7DKEnSySumy2dnZnrZFulTTNAMXgCQp/3ElZXGFOHpK\nr9vtTqJxexT0RgfjbuwfJTvp5rjJYop7lFBJyEq0b9N10508YPNoahB0zkTdyFiWhUsuuQS33347\nrrjiCuy3334jGmmOESKXAWQJackAdF1qmD9hVnSpg0A38gGViETJByah+1S3yELKP210e9yof+Qp\nTKRsHKLLg8Sk2C/R9TOJByxdzymaOm7X1bRB5wz5eofdyPz2t7/Faaedhje/+c34/ve/PzYBkxzD\nQR5ZHSFarZZLUB3HwcLCQmLPuHHUpY4KnSxtyI+RiLtpmnm6Dt4x5jjORJIyvYEBHTeAJLulUmks\nvDwHCVWrO04ZmUGBSJllWS6pHVcP2LTQKZrqOA4uv/xyfPe738UVV1yBAw88cEQjzZER5JHVLIN6\nIHeCrktdvXp1rC5VvyDq/qArJVIWhyhLGyIh1Mce8PRotP8mYTLRoUbKooofJgFqAReRMsMwUC6X\n3Rsg6mk/jEryLCFPcQdBUirTNDEzMxO4Lqs3y5PQuY2Iu23bkdHURx99FKeccgqOPfZY3HzzzRN3\nQ5wjOXKymjEIISLT06oudXZ2ti9d6qRXLBOBpahHuVxGsVh0J5MwH89JiIaoxSCTfowAyTxCB11J\nnjWopGwSbnY7QT1GojIQ4+IBmxZInlYoFEKlVJxzXHXVVfj3f/93fO5zn8Nhhx028DF96lOfwpe+\n9CUYhoGDDz4YV111FZaXl/G2t70Njz/+OPbee29cd911WL169cDHkqN75DKAEcKyLJdcAsCOHTsC\nkVLAO/Gpr7h6MUxCUvV0bq6fStZ9KioNPGgbpFEgLyjzo5+OXGoluXrsZLGBQTdQI2WTKAsJg0rK\nqtVq37+nTmCH6QGbBpIQ96eeegrvf//7ccghh+Ccc85BuVwe+LieeuopHHPMMfjd736HUqmEt73t\nbdiyZQseeOAB7LrrrjjzzDNx4YUXYseOHbjgggsGPp4cschlAFmHXmRF7efoxFd1qarWNYkudZLT\nuSq66T4V5+Np27ZLeAGEEthxgJ7yzwvKgtY63Va1E5FIs/BvlFCJe+4zLDEo4q5GYInEjUvkvlPE\nnXOO6667Dp///Odx6aWX4lWvetVQjyPHcbC8vAzDMFCv17Hnnnvi/PPPx2233QYAeOc734ljjz02\nJ6sZRU5WR4goRwBVl1oul3NdagpIqwSP0Y0AACAASURBVPuUns7To2jNZtPtUJP1KFouC/FjkFrd\nXhsYjJrA9kvcVyLUgqFhEPeo1sNZIbCqfjmKuD/77LM444wzsH79etxyyy2Ympoa+LhUrF+/Hmec\ncQY2bNiAqakpHHfccXjta1+L7du3Y926dQCAPfbYA88+++xQx5UjOfIrT8bQarXQarVyXWpKGHT3\nqU5RNNu2M1dMkbeNDWIUWt04HWNc5H4YJCQvsgtCPW9GSdyjrjlhRaODvmlW28eGBUWEEPjOd76D\niy++GOeffz5e85rXjOQ42rlzJ2644QY8/vjjWL16Nd761rfiK1/5SmjAKEc2kZPVjIAKfVqtFqan\np/vSpeYERGJUxF2NopF9jRoJGRUJydvGBpGkgGqY6LYVaD+NL6KQt44NYtjR1G7RjQdsGgQ2iRvE\njh07cOaZZ6JcLuPmm28eaeHSzTffjH333Re77LILAODNb34zfv7zn2PdunVudPWZZ57B2rVrRzbG\nHPHIyeoIwRjz6VLJFke9WwbgiuzDSKpuYp9HQLJZLNRJizboSEgecfdDbwuaRQJC6KeBQTffKW8d\nGwRdS+LM7LOKKOlJp2Onk+tJkmjqj370I/zjP/4jPvaxj+H4448f+XG0YcMG3HHHHa607oc//CE2\nbdqEVatW4eqrr8ZZZ52Fa665Bm9605tGOs4c0cjdAEaIWq2GhYUFlMtlVKtV9wJQrVYDulTAn6JI\nWtE+SRj3lqD6RELR9n7kA3nKPwi1a9tKaQuqS0/CnCvijp28f70f+s1MmJn9SkGnpinqjY9lWWg2\nm5HXkqWlJXzkIx/B4uIiPvvZz2K33XYb0bcK4pxzzsHXvvY1FItFHHbYYfjiF7+IxcVFnHDCCXji\niSew11574brrrsPc3NyohzrpCD3RcrI6QpCeke586/U6hBAol8sddamURqYWqZMMtVp5pXWf0icS\n27YhhPClf8PkA5M02SbFpEUOk3ZuazabmcpCjBpqUdlKuZnpFlHXHQAoFosoFAqYn5/HLrvsAtOU\nLYh//vOf4yMf+QhOP/10vO1tb5v44yhHz8jJatbAOYdlWQA8K5RWq+VeDPQ0Xh4lC2IlRsk6QY2+\n0kRCMgM6ZprNJhhjeQvMNvLIoYQeuSf9a6ebn0mAeoM3jpmZQUAvtDNN0/We/tu//VvccsstOOSQ\nQ1AulzE/P4/LL78cRx555MTvtxx9ISerWQNFegDPLzXKgJ5eK5fL+UUU/sKYSYiSxUFtXkDOA4DU\nOqokJIsenoNGFvXLo4aqw6xUKjBNc8U1MOgWukVXfoPn+XwDiLzpvfXWW/G5z30O09PTaDQa2Lp1\nK2zbxpFHHokjjzwS73nPe/DiF7942EPPMd7ImwJkDc888wwWFhawfv163+RAIPLRarXciSLMBmkl\nTyI6cg/ZcFCRVrFYdG9mojw8dQK7EjFOBVTDgh45VDsurZQGBt1C3yd5gap/n0QFAlqtFj75yU/i\nV7/6FT7/+c9j7733dl976qmn8Mtf/hJbt251I/c5cvSLPLI6QvzsZz/DpZdeiieffBJ77LEHNm3a\nhE2bNuGwww7D3XffjbPOOgvvfe978da3vhWFQiFRAc5Kaf8ZBtVSJ9fqSnSzT3T5wKAtkEYFdZ/k\nMgiJfvdJ0iKccSKweTQ1iCT75IEHHsCpp56KE044Ae9973vz/ZYjbeQygKxCCIFt27bhjjvuwE03\n3YQbbrgBjuNgy5YteNWrXoWjjz4a+++/f2T/+jANmkpex52A5FrdINKQQeg3P3oKeNwiaJNWQJUE\nquYw7X3S6dqT1ei9rsPMZVXJ9Lq2beOzn/0sbrrpJlxxxRU44IADRjTaHCscuQwgq2CMYZdddsF9\n992Hb3zjG3jf+96H0047Db///e9x++234+KLL8YjjzyCubk5HHnkkdi0aROOPPJIzM3Nxfp3kmvA\nuBKQ3MQ+iDRlEL20AFVvfrL0W9A+ifJ+nER08sPsF730sR/1zXPe8CAINZoatU8eeeQRnHrqqdi8\neTNuuummPKuVY+jII6sZwWmnnYbt27fjggsuwIYNGwKvCyHw/PPP4xe/+AXuuOMO3HnnnZifn8fG\njRuxadMmHHXUUTjooINCLyJqAY6ewsuqflE1sc9TuRI00Qohhup8oLZx1OUDoyYgegFVWF/ySUOW\nunLpbUBHVcA1yAjzOEPtzBVmb8c5x5e+9CV8/etfx+WXX45DDjlkRCPNMUHIZQBZhuM4XRMyx3Hw\n4IMP4vbbb8cdd9yB+++/H+VyGYcffrhLYNetWxd6Ue5kfzQq/WJevR1E1pwPkhCQTl1w0hhDnsoN\ngshHlhuFDKL5RRxyDXMQZJXoOE7kje+2bdtw8sknY9OmTTj77LN9rVxz5BggcrK60iGEwNLSErZu\n3Yrbb78dv/jFL/DMM89gw4YNrnTgFa94RejEPurirXHvPjUIqM0Oskw+gPjofdrHT04+ghj3CHOS\nBgbdyk/yaGo4kkRTv/rVr+Kqq67Cpz71KRx99NEjGmmOCUVOVicRnHM8/vjjLnm9++67wTnHIYcc\ngiOPPBJHHXUU9tprr5EVb63k7lP9YCU0O6DjRyWwAEIJbNLtZSW9nRWs5E5lce4VnQq41Buaqamp\n/JoCL5pq2zampqZCrynbt2/Haaedhn322QfnnXceqtXqCEaaY8KRk9UcXgTzrrvuwh133IE77rgD\njz32GHbbbTdXOnD44YeHFjNR+jfKQLzb4q2VQMjSxkquaO90/MTJT8YhvT1sTFpbUPX4UY8hVb5k\nGAZs285vaDTYto1arYZCoeDz1yUIIfDNb34Tl112GS688EIce+yx+X7LMSrkZDVHOIQQ2L59u0te\nt27dilqthpe+9KWu9+sBBxwQmm6NS99FFW9lTYOZBYxTyj9NqPITIh9q+tcwDFiW5fo+rnRClgS5\nXteDfvxQ++ph6qezDPVaGyUPeeGFF/CBD3wAMzMzuOSSSzA7OzuCkebI4SInqzmSw7Zt3H///a58\n4MEHH8TU1BSOOOIIHHXUUdi0aRN23XXXxMVbhmG4E4ZlWe4d/iQQsk6YtAhZJxBxb7VasG0bgN9m\nK4vuFcNCrtcNQs1GUGMMvQBw3BsY9AJVXhV28yuEwI033ojzzjsPH//4x7Fly5YVvT9y/P/t3XtQ\nU3faB/AvEQRBFIljWMESu9wtyCWh4GiF3Var3VHrvXa0ZcHO2LFYdAW31G7RWcFar4NKbVfbrduy\ndKetbFuprbfeSCIIqcqlK1YUXcIWKBQj5HLO+4dvTgMm3Mk5SZ7PjH8YEX/JHMmT5zwXu0HBKhk8\nlmXR1tYGlUqF0tJSqFQqNDc3QyqVcuUDkZGRFjtGzWulgHuBhzNt3rLGkW/5D4WlsWU9m/+cbX99\nz4CMbm/fY7pWRCJRrx9+e94BMhgMYFlW0OP7Bsv8WrGWTW1vb0d2dja6urpw4MAB+Pr6jvi52tra\nkJaWhsuXL0MkEuHo0aMICQnBihUrUF9fD6lUiqKiIowfP37Ez0IEjYJVMrwYhuEWFygUCnz//fcY\nNWoUoqOjufKB0aNHY+vWrWhtbcU//vEP7k22t+YbR1r9aY35EHvKMN8zkAYqW48/4lN/AzJnMhzN\ndv1p4LK30XnmiyAsXSssy+Lrr7/G1q1bkZmZiaVLl9rs+T377LOYPXs2UlJSYDAYcOfOHezYsQNi\nsRiZmZnYuXMnWltbkZeXZ5PzEMGiYJWMLJZlodVqUV5eju+++w6FhYX4z3/+g1mzZiExMRGJiYmI\niYmBp6en1eYtS7M7e2Y+7OnNoyfzW/6mN1lnN1z1utayZz1nB9tLsNefekNn1Nft7cESygKDwehP\n5l2r1SInJwe3bt3C4cOHIZFIbHa+9vZ2xMTEoK6urtvjYWFhOH/+PCQSCRobG5GUlISamhqbnYsI\nEgWrxDbOnj2L9PR0SCQS7N+/H+PGjeOaty5evAidTodp06Zxo7OCgoL6HJ1lXntmj8EHzZG1bKTr\ndYW6/KIvfc3CdEZ8BO/WMvhC+hDdVzYVAC5cuICsrCysW7cOq1evtvnPTLVajeeeew4RERFQq9WQ\nyWTYt28f/P390drayn2dr68vWlpabHo2IjgUrJKRV1tbi8cffxy7d+/Gk08+afEHuF6vh1qt5gLY\nq1evwsfHh2vekslk8PHx6bN5y15qF+k27v346mjvGXwILYNPzXaWjVQ2dTD6WmBgqxp88/9D1rKp\nXV1dyMvLw/fff4+CggIEBgaO2Hl6U15ejoSEBJSWlkImkyEjIwPe3t7Iz8/vFpyKxWI0NzfzckYi\nGBSsEtvQ6/UDynqwLIvm5mYolUooFAqoVCq0tbUhODiYa96KiIiw+Mbd1+ijwWy+GS72vlVopAgt\neB/M+LWROIOpjpky77+yl1KI/izAGM5rqD9LDy5duoSNGzdi1apVWLduHa//zzQaDRITE3Ht2jUA\nwDfffIO8vDzU1dXh3LlzXBlAcnIyqqureTsnEQQKVoWipKQEL774IhiGQWpqKrKysvg+kuAYjUbU\n1tZyzVtVVVVwd3dHTEwMF8BKJBKLb+h8N2/RHEzLzIN3oXe099Z8M9zXEI2jssx8EYSlQfZCZ60E\nZSjXUH9WyBoMBuzbtw/nzp3DG2+8geDg4OF+aoMye/ZsvPnmmwgJCUFOTg60Wi2Ae7f+s7KyqMGK\nmFCwKgQMwyAkJASnT5/G5MmTIZfLUVhYiLCwML6PJmgsy6KjowNlZWXc7NfGxkY88MADkMlkkMvl\niI6OthgY2rJ5yzxr6OHhQYEHHGMlaG/lA4PZ3mb6njS67H7mo+6EnE0dqL6uob7KmBiG4QI8ax9q\nfvjhB7z44ot44oknsHHjRkH9/FGr1UhLS4Ner8eDDz6IY8eOwWg0Yvny5bh58yYCAwNRVFQEHx8f\nvo9K+EXBqhAoFArk5OTg5MmTAIC8vDy4uLhQdnUQGIZBfX09F7xWVlaCYRhERUVxzVuBgYH9at4y\nzYAd7G27nrf87W3kzUgxZQ1ZlnW4Gsy+ahd7K0ERWimEUDhbY5kpgO1tgYFIJILRaOw1m2o0GnHk\nyBF8/PHHOHz4MB566CGenhEhQ2bxP73jvHPYiVu3bmHKlCnc7wMCAqBSqXg8kf0SiUSYOnUqpk6d\nilWrVnGZqoqKCigUCmzbtg319fUQi8Vc6UBsbCy8vb25jnDz4Mk869HV1XVf1sPS2saet/xN39vZ\nOUPW0NI1ZJ7B1+l0FmsX9Xq9XZRC2JL5hz1nWqtrvpnNxPxDkOlaAe5dQyzLoqmpCV1dXQgICIBI\nJEJ9fT3S09MxY8YMnD592uJiFkLsnXP8RCBOwcXFBR4eHtxMV+DeD36NRgOFQoGvvvoKe/bsgVar\nRVhYGJd9DQ0N5TIYIpGIu+3Ys3lLp9N1y3q4uLhAp9NBJBLBy8tLULfc+GSeNRw7dqxTZQ1dXFzg\n5ubW7RoyBbB6vR5dXV0A7n3QMp8Da+/zg4fCPJtKH/Z+DWBNP3vc3d3h5ubG/f7rr7/Gpk2bIBKJ\nEBISgvr6emzevBlPP/00BarEYVEZgI0pFAq8+uqrKCkpAUBlAHwwGAy4cuUKNzqrpqYGXl5e3Ogs\nuVwOsVhstXnLFHQwDAMAQ26acBQ0/cAy0+tiNBq53fV93fp1hvXD5q+Lo5WIDIX5+DJPT0+LH4L/\n+9//IjMzE15eXpg4cSIqKipQXl4OiUQCuVyOxYsXY+nSpTycnpAho5pVITAajQgNDcXp06fxm9/8\nBvHx8Xj//fcRHh7O99GcFsuyaGtrg0qlQmlpKVQqFZqbmyGVSrnygcjISIhEIrz11lv48ssv8e67\n78LDwwOA5c5xoczttAVHaKAaCQN5Xfoz+shR6qDperGur5pdlmXxr3/9CwcPHsTrr7+OWbNmcV9j\nNBpRU1ODCxcuwNvbG0uWLOHjKRAyVBSsCkVJSQk2bNjAja7asmUL30ciPTAMg7q6Om501rfffoum\npib4+flhzZo1mD9/PgICAnodndVb85ajBB40dsmy/mTHemMqH+gZwAp9AUZfaOmBZaYJCL1lmZub\nm7Fx40ZMnDgRr732Gry9vXk4KSEjjoJVQgaqubkZ2dnZKC4uxrZt2xASEgKlUgmlUomGhgb4+flB\nLpdDLpcjJiYGnp6eg9q8ZW91i87QQDUY/ZmDOZTv3dsCDCFn8WnpgXX9yaZ+9tlneO2117B9+3bM\nnTuXXjviyChYJWQg2tvbER4ejsWLF2P79u33zf9jWRYNDQ1c7evFixeh0+kwbdo0rnkrKCjI6ugs\na3WLttqaNFjmw9r5Xn0pJHxkmc2z+KZrCRi5zUmDMdQss6MynydrbQJCW1sbtmzZApZlsX//fkyY\nMIGHkxJiUxSsEjJQt27dgr+/f7+/Xq/XQ61WcwHs1atX4ePjwzVvyWQy+Pj4WC0f6Lm4AEC34JXP\n2749G4Wogeoe8yyzEMZR9ZXFt9V1RNlU6wwGA7RardXtXCzL4vz58/jLX/6CLVu2YPHixfTaEWdB\nwSoZmoaGBqxZswYajQYikQhr165Feno6WltbsWLFCtTX10MqlaKoqAjjx4/n+7iCwLIsWlpaoFQq\nueattrY2BAcHc81bERERFrMq1jbe2Pq2L62Ptc40pmvUqFGCzTL3vI4MBsOIlw/0Z9uSM2JZFp2d\nndDr9VYnZty5cwevvPIKfvrpJxw8eBCTJk3i4aSE8IaCVTI0jY2NaGxsRHR0NDo6OhAXF4cTJ07g\n2LFjEIvFyMzMpP3O/WA0GlFbW8s1b1VVVcHd3R0xMTFcACuRSPps3rJ223c4m7eogcoye18JaqkJ\n0DTzdSjlAyNZs2vv+vpgw7IslEoltmzZgvT0dDz99NMO+dqdOHEC165dQ0ZGBt9HIcJEwSoZXosW\nLcL69euxfv16nD9/HhKJBI2NjUhKSkJNTQ3fx7MbLMuio6MDZWVl3OpYjUaDgIAArnkrOjraakaz\nZ9PNUHfWm85kygAJ4da2UJhKNRxxJWjPLL7BYOC2dPWnfIA+2FhmXiZi7YNNZ2cncnNzUV1djYKC\nAgQEBPBwUttISUnB6dOncePGDb6PQoSJglUyfK5fv46kpCRcvnwZU6ZMQWtrK/dnvr6+aGlp4fF0\n9o9hGNy4cYPLvlZWVoJhGERFRXHNW4GBgSPSvEUNVJY529gla2UoPWcIu7i4cIsyKJvandFohFar\nhUgkwpgxYyz+X1Kr1di0aROeeeYZrF271uH/v1GwSvpAwSoZHh0dHUhKSsLWrVuxcOHC+4JTsViM\n5uZmHk/oeEzZmYqKCigUCiiVSly/fh1isZgrHYiNjbW6rtJS0AHgvqCjs7PTaYKx/qKa3V9ZKx8A\nwK2Z5Xv6gBD0p+lOr9dj9+7dKC0tRUFBAX7729/ydFrbSUlJwTvvvAMXFxfuupFKpbh27RrPJyMC\nYvGHK70bkQExGAxYunQpVq9ejYULFwIAJBIJNBoNVwZADQHDz8XFBR4eHkhMTERiYiKAe2+IGo0G\nCoUCX331Ffbs2QOtVovQ0FAugA0NDeWCB5FI1G1nvXn5QFdXF1iW5XbbMwwDhmEcfuVnX8xvbXt5\neTn9rW3zsoCuri4AgLu7O0QiERiGgU6n61ZH7YwriM2zqWPHjrUYuFdXVyMjIwOLFi1CSUmJ01xX\nr7zyCv73v/+hrKwM//73v8GyLNzd3fk+FrEDlFklA7JmzRpMnDgRe/bs4R7LysqCr68vsrKyqMGK\nZwaDAVVVVVz5QE1NDby8vBAXF8fVv06cOJELHJRKJa5evYpFixZxbxrWmrdMgYczBB209MA6UwDv\n4uJi8dZ2b+UDQ6mjFjrzDLy1bKrRaMThw4fxySefoKCgABERETY5G8MwkMlkCAgIQHFxMa8TXKgM\ngPSBygDI0Hz77bd45JFHEBkZyWXcduzYgfj4eCxfvhw3b95EYGAgioqK7hugT/jBsiza2tqgUqm4\n0VnNzc2YPHkyOjs7UVZWhry8PKxYscLirMfeVn46atBhaqDqrc7QGQ1lnmzP8oGe27fMPwjZ47Vk\nnoH39PS0eM38+OOPSE9Px+zZs/HnP//ZphMk9u7di/LycrS3t6O4uBhZWVm8TXChYJX0gYJVQpwd\ny7J4//33kZGRgaioKAQHB+P777+Hq6sroqKiuPKBgIAAq6Oz7HXzVl96zsAczhFg9q4/jUIDZW0J\nhj1l8vszqothGLz99tt47733kJ+fj9jYWJuesaGhASkpKcjOzsaePXtQXFyMsLAw3ia4ULBK+kA1\nq4Q4s6amJqxevRq3b9/GRx99hBkzZgD4dWZoeXk5FAoFsrOz0dDQAD8/P8jlcshkMsTGxsLT0xMu\nLi5cMGFifstXp9MNeOSREJhPQLDWpOaMRnI7l6k+2ryO2jyANW1LM9++5erqKphMvvniA2v1zLdv\n38aGDRsQGRmJs2fP8lKfmZGRgV27dqGtrY17zNRjAAB+fn5oamqy+bkIGQgKVglxEuPGjcPChQux\ndu3abrcgXVxc4OnpiVmzZmHWrFkA7gUODQ0NUCgUOHXqFPLy8qDT6TBt2jRudFZQUBDXuGWtecsU\nwPbcmGTKWvIddJivkLW2n91ZmZdDWGsUGk6m62H06NHcYz0z+UK4lszXyPaWTS0qKsIbb7yBPXv2\nYMaMGbxc659++ikkEgmio6Nx7tw5q19ny7O5u7tzJROE9BeVARCnJqTGA6HT6/VQq9VQKBRQKBSo\nq6vD+PHjERcXh/j4eMhkMvj4+Axq85atb/nS3nrrhL4QwlIdNTByW9zMmc/a9fT0tJhNbWpqwqZN\nmzB58mTk5uZi7Nixw36O/nrppZdw/PhxuLq64u7du/jll1/w5JNPoqysDOfOnePKAJKTk1FdXW2T\nMx04cAAZGRk4ePAgZDIZPDw88NBDD9nk3yZ2gWpWCelJSI0H9oZlWbS0tECpVHLNW+3t7QgKCuIm\nD0RERFhsJOl5y9fawPmRuOVLm5as62slqBD11Qg4HKUo/flww7IsPvnkE7z++uvIzc3F73//e0EF\n+efPn8fu3btRXFyMzMxMiMViXia4aLVarF27FiUlJfj5558RGBhIc1aJOQpWCTEntMYDR2A0GlFb\nW8utjb1y5Qrc3d0RExPDNW9JJJI+s6/mzVtD3Vdv/v1pb71lPZvLbNmpPhJ6zhHuOX1gIB+G+pNN\n/fnnn5GZmQk3Nzfs3btXkNNQzIPVlpYWmuBChIqCVULMLVu2DNnZ2Whra+N+iE+YMIFWxw4jlmXR\n0dGBsrIyLoDVaDQICAjgsq/R0dFWb8Nb2lc/mIzZSHSzOwqDwQCtVuvw63X7KkWx9GHI1Hjn5uYG\nDw8Pi9nUM2fOYNu2bXj55ZexYMEC+gBEyNDQNABCTITYeOCIXFxc4O3tjeTkZCQnJwO4F4DeuHED\npaWlOHHiBHJycsAwDKKioiCTySCXyyGVSvts3jIYDH023Ai9/pJPjpZN7YtpQoWrqyvXlW/+Yair\nq4srHzBt5GJZ1upr09HRgZdffhltbW04efIkJk6caOunRIjToMwqcUpCbDxwVqbxSBUVFVAqlVAo\nFLh+/TrEYjFXOhAbG2t1pJS1hhuRSASj0YhRo0ZRbWoP5qO6xowZQwH8/zOVinR2dnIZVtM0gpyc\nHO7D1E8//YStW7ciIyMDK1eupNePkOFDZQCEWCKUxgPyK5ZlodFouMkDZWVl0Gq1CA0N5QLY0NBQ\niwFoS0sLRo8eDaPRCFdXVy6YtUXzltCZZuoaDAanyKYOhPlrYz7GzLQF7ujRo7hw4QLKysrw008/\nISEhAY888ggefvhhxMfHY9KkSTw/A0IcAgWrhFhCjQf2wWAwoKqqCqWlpVAoFKipqYGXlxfi4uK4\n5QVffPEFsrOzUVhYiIcffpgLRns2bxkMBrAsO2zNW/agr/pLZ2Zet2st03zx4kVs3rwZqampeOKJ\nJ1BWVgaVSgWlUokLFy7Ax8cHly9fhpeXFw/PgBCHQcEqIcRxmDJeKpUKJSUlOH78ODw8PDB79mxE\nR0cjPj4ekZGR3YbMmzOvVzSVEAh1W9JQmC8+MK2RJff0p25Xp9Nh165dKCsrQ0FBAaZOnXrf1zAM\ng2vXriEoKMgWxybEkVGwSghxLEajEfn5+di+fTs2btyITZs2cc1bCoUCly5dgkgkwvTp07nygYCA\nAKu1r72NOzJlYe0p+0rZVOv6M1O2qqoKGRkZWLp0KdavX091z4SMPApWCSGOZf/+/fjwww9x5MgR\nhIaG3vfnpjrE8vJyKBQKKJVKNDQ0wM/PjysdiI2Nhaen54Cat8yDV1tu3uov89mglE3tztTQp9Pp\nrGZTDQYD8vPzcerUKRQUFCAsLIyHkxLilChYJYQ4Fp1Ox92u7y+WZdHQ0MAFr+Xl5dDpdJg2bRpk\nMhni4+MRFBRk8XvyuXmrv8+N1sha1595u3V1ddiwYQMeffRRZGZmUqBPiG1RsEqII2tra0NaWhou\nX74MkUiEo0ePIiQkBCtWrEB9fT2kUimKioowfvx4vo8qOHq9Hmq1mps+UFdXh3HjxnHBq0wmg4+P\nT782bxkMBgC22VVvjrKp1plnU63N22UYBkePHsU///lPHDp0CNOnT+fptIQ4NQpWCXFkzz77LGbP\nno2UlBQYDAbcuXMHO3bsgFgsRmZmJo3iGgCWZdHS0gKlUonS0lKoVCq0t7cjKCiI27wVERFhdfST\nLZu3KJvau/5kUxsaGpCeno64uDi88sor3NIAQojNUbBKiKNqb29HTEwM6urquj0eFhaG8+fPc0sO\nkpKSUFNTw9Mp7ZvRaERtbS2Xfb1y5Qrc3d0RExPDNW9JJBKbNm/1Z2+9szIN+O/q6uo1m/ree+/h\n2LFj2Lt3LxISEng6LSHk/1GwSoijUqvVeO655xAREQG1Wg2ZTIZ9+/bB398fra2t3Nf5+vqipaWF\nx5M6DpZl0dHRgbKyMpSWlkKpBpgGGAAADYJJREFUVEKj0SAgIIDLvkZHR1vNdFqqfQX617xlHohR\nNvV+RqMRd+/eBQB4enpa/BCg0WiQkZEBqVSKHTt2wNPT09bHJITcj4JVQhxVeXk5EhISUFpaCplM\nhoyMDHh7eyM/P79bcCoWi9Hc3MzjSR0bwzDdRmdVVlaCYRhERUUhLi4O8fHxkEqlVpu3zMsHTL/M\na19NmVNTIEZrZLszD+Ld3d0xevTo+4J4lmXx8ccfY9++fdi5cyeSk5Mp0CdEOChYJcRRaTQaJCYm\n4tq1awCAb775Bnl5eairq8O5c+e4MoDk5GRUV1fzfFrnYWrsqaiogFKphEKhwPXr1yEWi7nSgdjY\nWHh7e/fZvGUwGLjmLZFIBDc3N5s1b9kDhmGg1WoBWA/iW1pa8Kc//Qne3t7YvXs3xo0bZ+tjEkJ6\nR8EqIY5s9uzZePPNNxESEoKcnBzujdvX1xdZWVnUYCUQLMtCo9Fwta/l5eXo6OhAWFgYF8CGhoZ2\nC7Zqa2tRX1+PGTNmcM0/5iUEjrh5q7/MG8x6y6Z+8cUX+Otf/4pXX30V8+fPd5rXhxA7Q8EqIY5M\nrVYjLS0Ner0eDz74II4dOwaj0Yjly5fj5s2bCAwMRFFREXx8fPg+KunBYDCgqqqKKx+oqamBl5cX\nYmJicOfOHRQWFiInJwd//OMfLQZiDMN0C15NzVs9Z786mv40mP3yyy946aWX0NnZiQMHDkAsFo/4\nuRoaGrBmzRpoNBqIRCKsXbsW6enpaG1tpVFyhPSOglVCCLEHLMtCqVRyY8giIyNx+/ZtSKVSLvsa\nGRmJ0aNHW/37lpq3zINXIW7e6q/+jOtiWRZff/01tm7dis2bN2PZsmU2e76NjY1obGxEdHQ0Ojo6\nEBcXhxMnTuDYsWM0So6Q3lGwSgghQmcwGLBr1y7s2bMH27dvx3PPPQeRSASGYVBXV8dlXy9dugSR\nSITp06dzAWxAQECfo7NM9a/mo7P43rw1EP3Jpmq1WuTk5KChoQGHDx+Gn58fDyf91aJFi7B+/Xqs\nX7+eRskR0jsKVgkhROi0Wi02bNiAl19+GYGBgVa/jmVZ3L17F+Xl5dzq2IaGBvj5+UEul0MmkyE2\nNhaenp79at4yH51lXkIgpOBVr9fj7t27cHNzg4eHh8WzlZWVYfPmzVi3bh3WrFnDe/nD9evXkZSU\nhMuXL2PKlCk0So6Q3lGwSoi90mq1iIuLw7hx4/Ddd99x2aRTp05h3rx5yM/Px7p163g+5fDau3cv\n/va3v0EkEiEyMhLHjh3DnTt3qOavFyzL4tatW92at3Q6HaZNm8atjg0KCrIawPVcXGDevGW+uMDW\nAawpMDcajVZXyXZ1dWHnzp1Qq9UoKCjoNdC3lY6ODiQlJWHr1q1YuHDhfcEpjZIj5D4UrBJizyor\nK5GQkICNGzdix44d0Gg0iI6ORmJiIj788EO+jzesbt++jZkzZ6KmpgajR4/GihUrMH/+fFRVVVHN\n3wDp9Xqo1WougK2rq8O4ceO44FUmk8HHx6fX8gE+m7f6k029fPkyMjIy8NRTT+H555/nPZsK3Cvn\n+MMf/oB58+Zhw4YNAIDw8HAaJUdI7yhYJcTe7du3D5s3b0ZJSQl27dqFK1euQK1Ww9fXl++jDavb\nt28jMTERlZWV8Pb2xuLFi5Genk41f8OAZVm0tLRAqVSitLQUKpUK7e3tCAoK4gLYiIgIuLm5Wfz7\nPRcXGAwGuLi4DHvzlimbajAY4OnpaTGbajAYsH//fpw9exZvvPEGgoODh/RvDqc1a9Zg4sSJ2LNn\nD/dYVlYWjZIjpHcUrBLiCJ544gmcOXMGer0eX375JZKSkvg+0og4cOAAsrOz4enpiTlz5uDdd9/F\nhAkTqOZvBDAMg9raWq5568qVK3B3d0dMTAzXvCWRSAbdvGVaXNDfANZgMECr1cLV1RVjxoyx+Pd+\n+OEHvPjii5g3bx42bdpkMZjly7fffotHHnkEkZGR3PPesWMH4uPjaZQcIb2jYJUQR1BYWIhVq1Yh\nJiYG5eXlfB9nRPz8889YsmQJPvjgA4wfPx7Lli3DkiVL8MILL1DNnw2wLIuOjg6UlZWhtLQUSqUS\nGo0GAQEBkMvlkMvliI6OtjgyyvT3B9O8xbIsOjs7odfrMWbMGIvZXaPRiCNHjuCjjz7C4cOHERkZ\nOTIvAiGEDxaDVeF8FCWE9KmxsREbNmxAXFwcKioqcODAAaSnp/N9rGH35Zdf4sEHH+TKG5588kl8\n9913kEgk0Gg0XBnApEmTeD6pY3JxcYG3tzeSk5ORnJwM4F729caNGygtLcWJEyeQk5MDhmEQGRnJ\nlQ9IpVKuAcvV1RWurq5wd3cHy7JcAGswGNDZ2Xlf8xYAdHZ2wtXVFWPHjrVYd3rjxg288MILSExM\nxJkzZ6zOmSWEOBbKrBJiR+bOnYva2lqo1Wps27YNhw8fhkqlwkMPPcT30YaVSqVCamoqLly4AHd3\nd6SkpEAul+PGjRtU8ycQLMuiq6sLlZWVXPPW9evXIRaLudKB2NhYeHt795l91el0YBgGALjgtbKy\nElOnToVEIgHDMDh+/Dj+/ve/Y9++fYiPj7f10yWE2AaVARBiz3bv3o0tW7bg7NmzmDlzJvR6PRIS\nEtDV1YXy8nJuZ7yjyMnJQWFhIdzc3BATE4O33noLv/zyC9X8CRjLstBoNN1GZ3V0dCAsLIwLYEND\nQ7nRa+Xl5fj000+xadMmjBkzBgC4ADYtLQ2nT5/GhAkTMHbsWEyaNAnbtm1DfHw8ZVQJcVwUrBJi\nryoqKjBjxgxkZmYiJyeHe/yHH35AXFwc1qxZg4MHD/J4QkIsMxgMqKqq4pq3amtr4eHhAQ8PD6hU\nKmzduhWpqan33fZnWRYffPABjh8/DrlcjubmZiiVSly9ehXTp09HQkIC0tLSEBERwdMzI4SMAApW\nCSGE8OvSpUtYvXo1Ro8ejblz5+LixYtobm6GVCrlsq/+/v7IysqCWCzGrl274O3tzf19U+OXQqHA\nvHnzMH36dB6fDSFkmFGwSgghhD+vv/468vLykJubi7S0NK6WlWEY1NXVcZMHiouLceTIETz++OOC\nWvdKCBlxFKwSQgjhz5tvvonHHnsMUqmU76MQQoTJYrDK/046QghxYKmpqZBIJIiKiuIea21txZw5\ncxAaGoq5c+eira2N+7Pc3FwEBwcjPDwcp06d4uPII2bt2rUUqBJCBoyCVUIIGUEpKSn4/PPPuz2W\nl5eHRx99FLW1tfjd736H3NxcAEBVVRWKiopQXV2NkydP4vnnn0cfd78IIcThUbBKCCEjaObMmZgw\nYUK3x06cOIFnnnkGAPDMM8/g448/BgAUFxdj5cqVcHV1hVQqRXBwMFQqlc3PTAghQkLBKiGE2FhT\nUxMkEgkAwM/PD01NTQCAW7duYcqUKdzX+fv749atW7yckRBChIKCVUII4Rl1vBNCiHUUrBJCiI1J\nJBJoNBoAQGNjIyZNmgTgXib15s2b3Nc1NDTA39+flzMSQohQULBKCCEjjGXZbo1SCxYswNtvvw0A\neOedd7Bw4ULu8cLCQuh0Ovz444+4evUq4uPj+TgyIYQIhivfByCEEEe2atUqnDt3Ds3NzXjggQeQ\nk5ODLVu2YNmyZTh69CgCAwNRVFQEAIiIiMDy5csREREBNzc3HDp0iEoECCFOj5YCEEIIIYQQIaCl\nAIQQQpxDSUkJwsLCEBISgp07d/J9HELIEFBmlRBCiENhGAYhISE4ffo0Jk+eDLlcjsLCQoSFhfF9\nNEJI7yizSgghxPGpVCoEBwcjMDAQbm5uWLlyJU6cOMH3sQghg0TBKiGEkAFLTU2FRCJBVFQU91hm\nZibCw8MRHR2NJUuWoL29nfuz3NxcBAcHIzw8HKdOnRrRs/VcrhAQEEDLFQixYxSsEkIIGbCUlBR8\n/vnn3R6bM2cOrly5gsrKSgQHByM3NxcAUFVVhaKiIlRXV+PkyZN4/vnn0UcJGiGEcChYJYQQMmAz\nZ87EhAkTuj326KOPQiS697aSkJCAhoYGAEBxcTFWrlwJV1dXSKVSBAcHQ6VSjdjZ/P39cePGDe73\ntFyBEPtGwSohhJBhd/ToUcyfPx/A/bfl/f39R/S2vFwux9WrV1FfXw+dTofCwkIsWLBgxP49QsjI\noqUAhBBChtVf//pXuLm54amnnuLl3x81ahTy8/MxZ84cMAyD1NRUhIeH83IWQsjQUbBKCCFk2Lz9\n9tv47LPPcObMGe4xf39/3Lx5k/u9LW7LP/7446itrR3Rf4MQYhtUBkAIIWRQWJbt1ihVUlKCXbt2\nobi4GO7u7tzjCxYsQGFhIXQ6HX788UdcvXoV8fHxfByZEGKHKLNKCCFkwFatWoVz586hubkZDzzw\nAHJycrBjxw7odDo89thjAO41WR06dAgRERFYvnw5IiIi4ObmhkOHDsHFxeLsb0IIuQ9tsCKEEEII\nIUJAG6wIIYQQQoh9oWCVEEIIIYQIFgWrhBBCCCFEsChYJYQQQgghgkXBKiGEEEIIEay+RlfRbBFC\nCCGEEMIbyqwSQgghhBDBomCVEEIIIYQIFgWrhBBCCCFEsChYJYQQQgghgkXBKiGEEEIIESwKVgkh\nhBBCiGD9HxURijBRSChmAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f3ed6653c90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X, T = np.meshgrid(x, t)\n",
    "fig1 = figure()\n",
    "ax = fig1.gca(projection='3d')\n",
    "surf = ax.plot_surface(X, T, u.T, rstride=1, cstride=1, cmap=cm.coolwarm,\n",
    "    linewidth=0, antialiased=False)\n",
    "title('Kuramoto Sivashinsky Equation', fontsize = 20)\n",
    "xlabel('x', fontsize = 16)\n",
    "ylabel('t', fontsize = 16)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Construct $\\Theta (U)$ and compute $U_t$\n",
    "\n",
    "The function build_linear_system does this for us.  We specify <br>\n",
    "D = highest derivative to appear in $\\Theta$  <br>\n",
    "P = highest degree polynomial of $u$ to appear in $\\Theta$ (not including multiplication by a derivative.  <br>\n",
    "time_diff and space_diff taken via finite differences\n",
    "\n",
    "Printed out is a list of candidate functions for the PDE.  Each is a column of $\\Theta (U)$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "Ut, R, rhs_des = build_linear_system(u, dt, dx, D=5, P=5, time_diff = 'FD', space_diff = 'FD')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['1',\n",
       " 'u',\n",
       " 'u^2',\n",
       " 'u^3',\n",
       " 'u^4',\n",
       " 'u^5',\n",
       " 'u_{x}',\n",
       " 'uu_{x}',\n",
       " 'u^2u_{x}',\n",
       " 'u^3u_{x}',\n",
       " 'u^4u_{x}',\n",
       " 'u^5u_{x}',\n",
       " 'u_{xx}',\n",
       " 'uu_{xx}',\n",
       " 'u^2u_{xx}',\n",
       " 'u^3u_{xx}',\n",
       " 'u^4u_{xx}',\n",
       " 'u^5u_{xx}',\n",
       " 'u_{xxx}',\n",
       " 'uu_{xxx}',\n",
       " 'u^2u_{xxx}',\n",
       " 'u^3u_{xxx}',\n",
       " 'u^4u_{xxx}',\n",
       " 'u^5u_{xxx}',\n",
       " 'u_{xxxx}',\n",
       " 'uu_{xxxx}',\n",
       " 'u^2u_{xxxx}',\n",
       " 'u^3u_{xxxx}',\n",
       " 'u^4u_{xxxx}',\n",
       " 'u^5u_{xxxx}',\n",
       " 'u_{xxxxx}',\n",
       " 'uu_{xxxxx}',\n",
       " 'u^2u_{xxxxx}',\n",
       " 'u^3u_{xxxxx}',\n",
       " 'u^4u_{xxxxx}',\n",
       " 'u^5u_{xxxxx}']"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "['1']+rhs_des[1:]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Solve for $\\xi$\n",
    "\n",
    "TrainSTRidge splits the data up into 80% for training and 20% for validation.  It searches over various tolerances in the STRidge algorithm and finds the one with the best performance on the validation set, including an $\\ell^0$ penalty for $\\xi$ in the loss function."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "PDE derived using STRidge\n",
      "u_t = (-0.984425 +0.000000i)uu_{x}\n",
      "    + (-0.994175 +0.000000i)u_{xx}\n",
      "    + (-0.998730 +0.000000i)u_{xxxx}\n",
      "   \n"
     ]
    }
   ],
   "source": [
    "w = TrainSTRidge(R,Ut,10**-5,5)\n",
    "print \"PDE derived using STRidge\"\n",
    "print_pde(w, rhs_des)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1.27483333333\n",
      "1.31441497337\n"
     ]
    }
   ],
   "source": [
    "err = abs(np.array([(1-0.984425)*100/0.5, (1-0.994175)*100, (1-0.998730)*100]))\n",
    "print mean(err)\n",
    "print std(err)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Now identify the same dynamics but with added noise.\n",
    "\n",
    "The only difference from above is that finite differences work poorly for noisy data so here we use polynomial interpolation.  With deg_x or deg_t and width_x or width_t we specify the degree number of points used to fit the polynomials used for differentiating x or t.  Unfortunately, the result can be sensitive to these."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "numpy.random.seed(0)\n",
    "un = u + 0.01*std(u)*np.random.randn(u.shape[0],u.shape[1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "PDE derived using STRidge\n",
      "u_t = (-0.458521 +0.000000i)uu_{x}\n",
      "    + (-0.480667 +0.000000i)u_{xx}\n",
      "    + (-0.492282 +0.000000i)u_{xxxx}\n",
      "   \n"
     ]
    }
   ],
   "source": [
    "Utn, Rn, rhs_des = build_linear_system(un, dt, dx, D=5, P=5, \n",
    "                                 time_diff = 'poly', space_diff = 'poly', \n",
    "                                 width_x = 20, width_t = 20, deg_x = 6)\n",
    "# Solve with STRidge\n",
    "w = TrainSTRidge(Rn,Utn,10**-5,5)\n",
    "print \"PDE derived using STRidge\"\n",
    "print_pde(w, rhs_des)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "52.2843333333\n",
      "1.40045971103\n"
     ]
    }
   ],
   "source": [
    "err = abs(np.array([(1-0.458521)*100, (1-0.480667)*100, (1-0.492282)*100]))\n",
    "print mean(err)\n",
    "print std(err)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.11"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
